succeed. The graph for the parent square root function is shown as a dotted line in the image below. Just remember to choose x-values for which the function is defined! We call this type of function a piecewise (or step) function. Determine how the graph of a square root function shifts as values are added and subtracted from the function and multiplied by it. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. She holds a professional teaching license in math grades 6-12, and is also gifted in-field certified. Since {eq}h = 0 Log in here for access. Step 2: In our equation, {eq}a = 1, h = 2 {/eq} is negative, the graph shifts to the left. {/eq}. {/eq} shifts the graph vertically. Quick Tips. {/eq} by moving the graph for the parent square root function (dotted line) three units to the left. Standard form of a square root equation is {eq}y = a\sqrt{x-h} + k How do you graph #y=sqrt(x+4)#, compare it to the parent graph and what is the domain and range? With this installment from Internet . It takes the graph much longer to achieve the higher values of {eq}y Sukkot Overview, History & Significance | Feast of How to Interpret Visual Representations of Historical Data, Practice Problem Set for Exponentials and Logarithms, The Drivetrain System Types, Parts and Functions. This means solving for a nonnegative radicand, or x + 2 >= 0. Step 1: Ensure the square root equation is in standard form and rearrange if necessary. $$x = 0, y = \sqrt{0} = 0\\ {/eq}. y = sqrt (x) + 3 . Stretch: A stretch is a type of transformation in which the behavior of the original graph is extended over a greater distance on the {eq}x Next, we plot some points. Step 1: Draw the graph of y = x . Step 2: Move the graph of y = x by 1 unit to the right to obtain the graph of y = x 1 . How do you graph #y=-sqrtx#, compare it to the parent graph and what is the domain and range? The domain of the function y = x 1 + 2 is x 1 . Is the statement true or false: numbers in the range of a radical function will always be nonnegative? How do you graph #y=2sqrtx+3# by plotting points? {/eq} and {eq}k = 0 {/eq}. It only takes a few minutes. Since the constant c in the function is outside the radical sign, the graph for the function is a vertical translation; that is, the parent square root function graph will move up and down c units to get the graph for the given function. First, find the domain the radicand cannot be negative. subscribe to my YouTube channel & get updates on new math videos. {/eq} results in a stretch or compression of the square root graph. This gives us a domain of x <= 0 (meaning the endpoint is x = 0). {/eq} then the graph shifts up and if {eq}k < 0 How do you graph #y=-1/4sqrtx#, compare it to the parent graph and what is the domain and range? Keywords: Square Root Function Square Root Function Graph Square Root Graph Graph Square Root Function Table Lets graph the square root function f(x) = 3-x. Graph root functions with and without a calculator. Now repeat for x + 5 >= 0, or x >= -5. Now you know how to graph square roots with no calculator. It only takes a few minutes. Plot the coordinates(0,0), (1,1), and(4,2) and join them to get the graph for the parent square root function. How do you graph #y=-9sqrtx# by plotting points? As an example, we'll use y = x+2, where f ( x) = x+2. All Modalities. #x >=-2# (that means left 2, of course!) Monty Hall was a Canadian television and radio personality, best known for being the long running host of the popular game show Lets Make a Deal. All other trademarks and copyrights are the property of their respective owners. How do you graph #y=-2sqrtx-3# and how is it different from the parent function? How do you find the minimum value of a square root function #f(x)= 3-sqrt(x+2)#? This gives the required graph. As a member, you'll also get unlimited access to over 84,000 Now that we understand how the values in the in a square root function transform the graph, let's work through 3 examples! Therefore, since option D is the only graph with a stretch, we know it is the correct graph. How do you find the x intercept of #f(x)=sqrt(x+3)#? A table will help, starting with the endpoint x = 0:xf(x)0012222323A table of valuesfor f(x) = 2x. We can see that we got the graph for the function {eq}g(x) = \sqrt{x+3} How do you graph #y=sqrt(x-0.5)#, compare it to the parent graph and what is the domain and range? Quiz & Worksheet - Physical Geography of Australia, Quiz & Worksheet - Pedal Point in Music Theory. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, How to Graph a Basic Square Root Function. Take the graph of the. We can see that we got the graph for the function {eq}g(x) = \sqrt{x-2} Find the domain by setting x + 2 #>=# 0 for starters. {/eq} instead of down {eq}1 Step 2: In the equation {eq}a = 1, h = 0 Square root function. {/eq} is positive, the graph shifts to the right and if {eq}h {/eq} then the graph is stretched and if {eq}a > 1 The graph is constructed plotting the coordinates(0,0), (1,1), and(4,2) as points A, B, and C on the coordinate plane. copyright 2003-2022 Study.com. This type of function is defined in a certain way for certain x values, and then in a different way for different x values. You can directly assign a modality to your classes and set a due date for each class. Also, you need to know the general shape of a square root function and how it changes with different signs. Then I need to put a filled dot on the point $(4,0)$ (I want to label $(4,0)$ beneath the dot, and I also I need to put a filled dot on an arbitrary point on the graph of the function and label $(x,y)$ above the point. This means solving for a nonnegative radicand, or x >= 0. How do you graph #y=1/2sqrt(x+2)#, compare to the parent graph, and state the domain and range? Since {eq}k = -1 Let's look at the effect of the addition or subtraction. Note that the curve is entirely to the left of the vertical line x = 2, since the negative in front of the x flips the basic square root function across the vertical line x = 2. {/eq} is stretched compared to the graph of {eq}y = \sqrt{x} Remember that the square root of a negative is imaginary, so we can't graph it in a 2D real number system. We can use the table of values to graph the parent function. Conic Sections: Parabola and Focus In the case of the square root function, it would look like y = #sqrt(x-2)# or y = #sqrt(x+5)#. Standard form is {eq}f (x) = a\sqrt {x-h} + k {/eq}. example. How do you graph #y=1/4sqrt(x-1)+2#, compare to the parent graph, and state the domain and range? {/eq}-axis. {/eq}, we know that the graph of the square root function is stretched. {/eq}. How do you write and graph a function that translates #y=sqrtx# by shifting 7 units up? It only takes a few minutes to setup and you can cancel any time. Finally, we sketch the square root curve to connect our points, starting at the endpoint x = 3. Option A has the horizontal shift we are looking for, but instead of moving 2 to the right, the graph is shifted 2 to the left. A table will help, starting with the endpoint x = 0:xf(x)00-13-232-333A table of valuesfor f(x) = 3-x. We have seen how to graph the parent square root function f (x) = x. Get access to thousands of practice questions and explanations! Also, note that the 3 in front of the radical make the curve 3 times as tall as the basic x function in all places. Next, we plot some points. This means solving for a nonnegative radicand, or x 3 >= 0. The value of {eq}h Our equation is in this form so we move on to Step 2. {/eq}, there is no vertical shift. Find the domain - this tells us where the graph of the square root function will be defined. Step 1: Ensure the square root equation is in standard form and rearrange if necessary. Therefore, the correct graph is C. Get access to thousands of practice questions and explanations! Log InorSign Up . How do you graph #y=sqrt(x-4)# and compare it to the parent graph? It is represented as: {eq}f(x) = \sqrt{x} \text { or } y = \sqrt{x} Adding 3 will raise the graph up, and subtracting 4 will lower the graph by 4 units. Cancel any time. First, the domain will be altered. Given #f(x)=xsqrt(2-x)#, how do you find the interval where f is decreasing? The value of {eq}k First, we find the domain. {/eq}. Note that the function is not defined for any x > 0, since the square root of a negative is imaginary (if x is positive, then x is negative). How do you graph #y=2sqrt(x+2)# and compare it to the parent graph? Conic Sections: Parabola and Focus. How do you write and graph a function that translates #y=sqrtx# by shifting 6 units down? Transformations: Scaling a Function. The required transformations can be dilations, compressions, stretchs, and shifts.SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/joinHave questions? Resources. The range of the function y = x 1 + 2 is y 2 . Forbidden City Overview & Facts | What is the Forbidden Islam Origin & History | When was Islam Founded? What is the domain and range of the parent function #f(x)=\sqrt{x}# ? How do you graph #y=sqrtx+4#, compare it to the parent graph and what is the domain and range? How do you graph #y=sqrtx-2# and compare it to the parent graph? Now that we have an idea of what square root functions look like (their basic shape), we can try some examples. Step 3: From Step 2, we know since {eq}k = 0 Now, let's explore how to translate a square root function vertically. #1 Varad 4 0 Homework Statement These are the Points. In Option C, the graph is shifted vertically, {eq}-3 How do you use shifts and reflections to sketch the graph of the function #f(x)=-sqrt(x-1)+2# and state the domain and range of f. If {eq}k > 0 Note that the function is not defined for any x < 0, since the square root of a negative is imaginary. Since {eq}h = k = 0 How do you graph #y=-3sqrtx-3#, compare to the parent graph, and state the domain and range? Then choose and x value greater than or less than to determine if you get a. 3 is a square root, but so is negative 3. What are Graphs of Square Root Functions? Well also look at how negative signs affect their appearance. If so, please share it with someone who can use the information. {/eq}. I can't seem to find the line for square root graphs. Here, there is a negative in front of the square root, which will flip the curve across the x-axis. I help with some common (and also some not-so-common) math questions so that you can solve your problems quickly! If we put a negative sign in front of the square root, we flip the curve across the y-axis to get h(x) = -x: This is the mirror image of f(x) = x, reflected across the y-axis. {/eq} and the square root, which are in the proper location. We will take a look at two examples and graph the function using the steps explained above to get a clear understanding of the concept of graphing a basic square root function. y = #sqrt(x+2) - 7# First, make a predictionwill the graph be translated right 2 or left 2, up 7 or down 7? Consider a function f : Rn 4 R and an affine transform y Rm p Ay + b where A e Rnxm and b Rn. How do you graph #y=sqrt(2-x# and how does it compare to the parent function? How do you graph #y=5sqrtx#, compare it to the parent graph and what is the domain and range? This equation is in standard form so we need not do any rearranging. {/eq}-axis. However, a more sophisticated approach involves the theory of inverses developed in the previous chapter. Define g(y) = f (Ay + b): 1 For x = Ay + b, let Ax and Ay be the Newton steps for f (x) and g(y) respec. TExES Science of Teaching Reading (293): Practice & Study Focus on Personal Finance: Online Textbook Help, Praxis Chemistry: Content Knowledge (5245) Prep. {/eq}. The inverse of a function is a function that reverses the "effect" of the original function. Quiz & Worksheet - Practice with Semicolons, Quiz & Worksheet - Comparing Alliteration & Consonance, Quiz & Worksheet - Physical Geography of Australia, Quiz & Worksheet - Issei and Nisei in World War II. How do you graph #y = sqrt (3x) + 4# by plotting point? Loading. The addition or subtraction on the OUTSIDE of the square root function will cause the graph to translate up or down. By definition, a square root is something-- A square root of 9 is a number that, if you square it, equals 9. What are the National Board for Professional Teaching How to Register for the National Board for Professional PMI-SP Eligibility Requirements: Education & Experience, Statistical Discrete Probability Distributions, Sentence Structure: Understanding Grammar, Holt McDougal Modern Biology Chapter 44: Animal Behavior, Contemporary Fiction for 9th Grade Lesson Plans, Historical, Cultural & Critical Contexts of Literature, Animal Reproduction and Development: Homework Help. The graph is shown in orange in the image below. I hope you found this article helpful. Like other functions, to graph the square root function, we first graph the parent function (i.e the. {/eq}-axis. Finally, in Option D, we notice the graph is stretched. Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7Follow the Community: https://www.youtube.com/user/MrBrianMcLogan/community Organized Videos:Graph Radical Equationshttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrAtPHw9QHKujO0bbBzGe8PHow to Graph the Square Root Functionhttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMph6Oo4qL7CZWzb8Dr6KlaTHow to Graph the Cube Root Functionhttps://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoDQPBpogssHCokGMu1vRDv Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists My Website - http://www.freemathvideos.comSurvive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-capture-fdea604e-9ee8-433f-aa93-c6fefdfe4d57Connect with me:Facebook - https://www.facebook.com/freemathvideosInstagram - https://www.instagram.com/brianmclogan/Twitter - https://twitter.com/mrbrianmcloganLinkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/ Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/ About Me: I make short, to-the-point online math tutorials. Since {eq}a = 1 How do you graph #y=sqrtx +6# and how is it different from the parent function? This graph will be translated 5 units to the left. Now, let's explore how to translate a square root function vertically. Frankenstein Castle in Germany & Its Influence on Mary Rene Descartes: Biography, Facts & Quotes, Mishima's Temple of the Golden Pavilion: Summary & Analysis, Practical Application: Creating an Outline for an Essay, Summarizing & Organizing Social Studies Research Data. If the range of the function #y=asqrtx# is #{y|y<=0}#, what can you conclude about the value of a? (see graph) In a sense, taking the square root is the "inverse" of squaring. How do you graph #y=sqrt(2x)# and how does it compare to the parent function? Square Root Function: A square root function is a function with a degree of {eq}\frac{1}{2} You can learn how to take the derivative of a square root function here. How do you graph #y=sqrt(x+3)# and how does it compare to the parent function? The addition or subtraction on the OUTSIDE of the square root function will cause the graph to translate up or down. 50C. You also know how negative signs can affect these graphs by flipping the curve across an axis. Step 1:We are given the equation {eq}y = \sqrt{x} - 1 I go through the table method and discuss the key points you want to. Also, note that the 4 in front of the radical make the curve 3 times as tall as the basic x function in all places. - Definition & Examples, False Consensus Effect: Definition & Example, The Diet of Worms in 1521: Definition & Summary, General Social Science and Humanities Lessons. {/eq}. Centeotl, Aztec God of Corn | Mythology, Facts & Importance. The. Chiron Origin & Greek Mythology | Who was Chiron? If you are ready for a challenge, we can try to translate in more than one direction at a time! 2. To graph a square root function, there are 4 steps we can take to break down the process: Before we look at some examples, lets refresh our memory on what square root functions look like. Step 3: By looking at the graph options, we notice B and D both have horizontal shifts. {/eq}. A table will help, starting with the endpoint x = 2:xf(x)201-40-42-1-43A table of valuesfor f(x) = -4(-x + 2). I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Note that the function is not defined for any x > 0, since the square root of a negative is imaginary (if x is positive, then x is negative). {/eq}, then the graph of is reflected across the {eq}x To graph a square root function, there are 4 steps we can take to break down the process: 1. Centeotl, Aztec God of Corn | Mythology, Facts & Importance. Nidhi holds a Bachelor's degree in Secondary Education with a teaching major Biological Sciences and Master's degree in education from Lucknow University and has taught middle and high school math. Vertical Shift: A vertical shift is a type of transformation in which a graph is shifted up or down on the {eq}y She spent the early portion of her career as a mathematical researcher in the fields of cyber security and machine learning. lessons in math, English, science, history, and more. To construct a graph for the parent square root function, substitute the value of {eq}x \text{ as } 0, 1, 4 #x = -1 => # Undefined in #RR#, You have upper part of a parabola that opens to the right. It includes two examples. Finally, connect the points by sketching the shape of the square root function. Also note that we only take the principal (positive) square root for any positive x value (for example, the square root of 4 is taken to be 2, not -2 if we took both, we would not have a function). How do you graph #y=1/3sqrtx# and what is the domain and range? Transformations: Inverse of a Function. {/eq}. Keep in mind that the square root of negative numbers does not exist. Cancel any time. How do you write a radical function that translates #y=sqrtx# four units to the right and graph it? Share with Classes. We've seen how to graph different functions, like a linear function and a quadratic function.Most of these types of standard functions have parent graphs, which are basically graphs of the basic function.For example, we know that the parent function of a linear equation is y=x, where the line goes through the origin, (0,0), and has a slope of 1. {/eq}. 0:09 what is a parent function 0:19 making a table and graphing the. Square Root Graph. Chiron Origin & Greek Mythology | Who was Chiron? Find more here: https://www.freemathvideos.com/about-me/#radicals #brianmclogan You have the lower part of a parabola that opens to the right. X values: 0, 1.98, 3.96, 5.94, 7.92, 9.9 Y values: 1.98, 7.13, 9.08, 11.04, 12.57, 14.51 I need to find the original equation and the linear equation. Product Distribution & Supply Chain Management: Help and Introduction to Programming: Help and Review, Apply Transitions and Animations in PowerPoint, FTCE: Spelling, Capitalization & Punctuation. The graphing calculator is a very important tool in order to graph square root functions. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). What are the x- and y-intercepts of #y=sqrt(2x-1)#? How do you graph #y=sqrtx+3# and compare it to the parent graph? The point plotting approach used to draw the graph of f(x) = x in Figure 1 is a tested and familiar procedure. The constant 3 is added, thus the graph for the function will move three units to the left. How do you graph #y=sqrt(x+1)# and compare it to the parent graph? The graph for the parent square root function is shown as a dotted line in the image below. How do you graph #y=2sqrtx# and compare it to the parent graph? Explanation: This graph is a function. {/eq}. Adding 3 will raise the graph up, and subtracting 4 will lower the graph by 4 units. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. Next, plot some points on the graph, including the one at the end of the domain. How do you write and graph a function that translates #y=sqrtx# by shifting 5 units right and 3 units up? x = 1, y = \sqrt{1} = 1\\ {/eq}, than in the original graph of {eq}y = \sqrt{x} Since {eq}a = \frac{1}{3} < 0 How do you graph #y=7sqrtx#, compare it to the parent graph and what is the domain and range? Adding 3 will raise the graph up, and subtracting 4 will lower the graph by 4 units. The Wolf in Sheep's Clothing: Meaning & Aesop's Fable, Pharmacological Therapy: Definition & History, How Language Impacts Early Childhood Development, What is Able-Bodied Privilege? [6] 2 Draw two lines in a + shape on a piece of paper. How do you graph #y=sqrt(x-3)# and how is it different from the parent function? How do you graph #y=-3sqrt(x-3)# and compare it to the parent graph? Cube Root Function Graph. Finally, if we put a negative sign in front of the x and in front of the square root, we flip the curve across the x-axis and then the y-axis to get j(x) = --x: This is another mirror image of f(x) = x, reflected across the x-axis and then the y-axis. New Blank Graph. {/eq}. #x = 0 => y = 0# Forbidden City Overview & Facts | What is the Forbidden Islam Origin & History | When was Islam Founded? Note that the curve is entirely to the left of the y-axis, since the negative in front of the x flips the basic square root function across the y-axis. {/eq}. {/eq}. And, subtraction of 7, must mean down 7. A lesson on transforming the square root parent function using vertical and horizontal translations and reflections over x- and y-axis to graph changes to th. {/eq}, there is no stretch or compression. Since the constant c in the function is inside the radical sign, the graph for the function is a horizontal translation; that is, the parent square root function graph will move right and left c units to get the graph for the given function. x=4, y=\sqrt{4} = 2 succeed. In option A, the graph is compressed. Step 1: We are given the equation {eq}y = \frac{1}{3}\sqrt{x} Step 2: Make note of the transformations in the. Get unlimited access to over 84,000 lessons. If {eq}h This implies a horizontal shift/translation of 2 units to the right. Therefore, the correct option is D which has a horizontal shift to the right of 2. The constant 2 is subtracted, thus the graph for the function will move two units down. {/eq} then the graph is compressed. {/eq}. How do you graph #y=-1/2sqrtx# and what is the domain and range? {/eq}-axis, Compression: A compression is a type of transformation in which the behavior of the original graph is condensed into a smaller distance on the {eq}x Hindu Gods & Goddesses With Many Arms | Overview, Purpose Favela Overview & Facts | What is a Favela in Brazil? Kayla has a Bachelors in Mathematics and a Masters in Mechanical Engineering. Try refreshing the page, or contact customer support. {/eq}. How do you graph #y=-sqrtx# and how does it compare to the parent function? You could use #y = x^2# with explicit domain #[0, oo)# as the parent graph: graph{(sqrt(x)/sqrt(x))x^2 [-4.767, 5.23, -0.6, 4.4]}. This means solving for a nonnegative radicand, or x >= 0 (meaning an endpoint of x = 0). Quiz & Worksheet - What is Guy Fawkes Night? Add to FlexBook Textbook. First, we find the domain. Also, the curve is below the x-axis, since the negative in front of the square root flips the basic square root function across the x-axis. {/eq}. For the parent function #y= sqrtx#, what effect does a value of k = -3 have on the graph? {/eq}, there is no vertical shift. Just remember to choose x-values for which the function is defined! Lets graph the square root function f(x) = 2x. {/eq}, there is a vertical shift down {eq}1 Step 2: Take a look at the given square root function. How to make a graph of a square root function? The Wolf in Sheep's Clothing: Meaning & Aesop's Fable, Pharmacological Therapy: Definition & History, How Language Impacts Early Childhood Development, What is Able-Bodied Privilege? Estimating Points on a Graph Download Article 1 Determine the function. {/eq}, there are no horizontal or vertical shifts. How do you graph #y=sqrt(x-1)# and how does it compare to the parent function? As a member, you'll also get unlimited access to over 84,000 How do you graph #y=sqrtx-3#, compare it to the parent graph and what is the domain and range? {/eq}, identify which of the following graphs is that of {eq}y = \sqrt{x - 2} This means we can discard options B and D as each has a negative or positive vertical shift. Note that the 2 in front of the square root doubles the height of the basic square root function at every point. {/eq}. How do you graph #y=sqrtx-2# and what is the domain and range? The following are examples of square root functions that are derived from the square root parent function: f(x) = sqrt(x+1) f(x) = sqrt(3x -9) f(x) = sqrt(-x) The parent square root function has a range above 0 and a domain (possible values of x) of . Is the statement true or false: numbers in the domain of a radical function will always be nonnegative? {/eq}, there is no stretch or compression of the graph. Additionally, if {eq}a < 0 However, since square root cannot be performed for negative numbers, you need only graph the "positive" part of the quadratic. Since {eq}a = 1 (3 Things To Consider), Sketch the graph of the rational function y = (2x - 4)/(x + 2) - Grade 12. learn how to take the derivative of a square root function here. Much higher values of {eq}y {/eq}, identify which of the following graphs is that of {eq}y = \frac{1}{3}\sqrt{x} example. Graphing Square and Cube Root Functions. How do you graph #y=sqrt(x+1)#, compare it to the parent graph and what is the domain and range? Finally, we sketch the square root curve to connect our points, starting at the endpoint x = 0. Making a table of values is a useful way to graph a square root function. Quiz & Worksheet - What is Guy Fawkes Night? The standard form of a square root equation is {eq}y = a\sqrt{x-h} + k However, it still passes the vertical line test, so it is a function! How do you use the graph of #y=sqrtx# to sketch the graph of #f(x)=-9sqrtx#? {/eq} shifts the graph horizontally. As we stated in Step 2, {eq}k = 0 Here are the steps that are useful in graphing any square root function that is of the form f (x) = a (b (x - h)) + k in general. Find Equation of Square Root Function From a GraphSubscribe to this channel and for more videos like this to help you score higher in Maths Methods: https://. Then, pay attention to negative signs, which can flip the graph across a line. The graph looks similar to the square . Dont forget to subscribe to my YouTube channel & get updates on new math videos! {/eq} are reached in a much shorter amount of time compared to the graph of {eq}y = \sqrt{x} {/eq}, identify the graph of {eq}y = \sqrt{x} - 1 How do you translate graphs of square root functions? Transform a Square Root. Given the graph of {eq}y = \sqrt{x} How do you graph #y=-5sqrtx# and what is the domain and range? Correct answer: Yes. Step 2: Make note of the transformations in the general form of the equation. The cube root is written as {eq}y=x^ {\dfrac {1} {3}} {/eq}, and the graph looks like this: Graph of the basic cube root function. {/eq}. {/eq}-axis. Given the graph of {eq}y = \sqrt{x} (3 Key Ideas). 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