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Use the graph of f(x)=√x to write an equation for the function represented by each graph. (a) (b) g(x) = -5 y 1 20 15 10 5 (4, 14) 5 10 15 4 20 X X Ⓡ 4

Use the graph of f(x)=√x to write an equation for the function represented by each graph. (a) (b) g(x) = -5 y 1 20 15 10 5 (4, 14) 5 10 15 4 20 X X Ⓡ 4

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Graph of Functions ### Instruction Use the graph of \( f(x) = \sqrt{x} \) to write an equation for the function represented by each graph. ### Graph (a) - **Graph Description**: The graph shows a curve that appears to be a transformation of the function \( f(x) = \sqrt{x} \). It is a parabolic curve opening upwards starting from the point \((0, 0)\) and passing through the point \((4, 14)\). The x-axis ranges from \(-5\) to 20, and the y-axis ranges from \(-5\) to 20. - **Equation to Find**: \( g(x) = \) ### Graph (b) - **Graph Description**: The graph shows another transformation that starts near \((0, 0)\) but follows a different pattern, potentially involving a different type of transformation compared to the previous graph. The curve goes through the point \((4, -\frac{1}{3})\). The x-axis ranges from 0 to 5, and the y-axis ranges from \(-3\) to 1. - **Equation to Find**: \( g(x) = \) ### Instructions for Use Analyze each graph to determine the transformation applied to the function \( f(x) = \sqrt{x} \). Use transformation rules such as vertical/horizontal shifts, stretches, compressions, and reflections to derive the functions \( g(x) \) represented by each graph. Fill in the equations accordingly to reflect these transformations.
Transcribed Image Text:## Graph of Functions ### Instruction Use the graph of \( f(x) = \sqrt{x} \) to write an equation for the function represented by each graph. ### Graph (a) - **Graph Description**: The graph shows a curve that appears to be a transformation of the function \( f(x) = \sqrt{x} \). It is a parabolic curve opening upwards starting from the point \((0, 0)\) and passing through the point \((4, 14)\). The x-axis ranges from \(-5\) to 20, and the y-axis ranges from \(-5\) to 20. - **Equation to Find**: \( g(x) = \) ### Graph (b) - **Graph Description**: The graph shows another transformation that starts near \((0, 0)\) but follows a different pattern, potentially involving a different type of transformation compared to the previous graph. The curve goes through the point \((4, -\frac{1}{3})\). The x-axis ranges from 0 to 5, and the y-axis ranges from \(-3\) to 1. - **Equation to Find**: \( g(x) = \) ### Instructions for Use Analyze each graph to determine the transformation applied to the function \( f(x) = \sqrt{x} \). Use transformation rules such as vertical/horizontal shifts, stretches, compressions, and reflections to derive the functions \( g(x) \) represented by each graph. Fill in the equations accordingly to reflect these transformations.
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