Use the graph y=f(x) to graph the given function **Transcription for Educational Website****Task: Graphing a Function**"Use the graph \( y = f(x) \) to graph the given function."**Graph 1: \( y = f(x) \)**- The graph is a blue triangle-shaped plot on a Cartesian plane.- The x-axis and y-axis range from -8 to 8.- The function forms a V-shape, with the vertex at the point (0, 8).- The function intercepts the x-axis at (-8, 0) and (8, 0), indicating these are the roots. **Graph 2: \( y = \frac{1}{9}f(x) \)**- This graph is currently not plotted, represented as an empty coordinate plane.- The axes range from -8 to 8 on both the x and y scales, just like the first graph.**Explanation: Transformation of the Function**The task involves transforming the original function \( y = f(x) \) by scaling it vertically. The function \( y = \frac{1}{9}f(x) \) represents a vertical compression by a factor of \(\frac{1}{9}\). This transformation will reduce the height of each point on the graph \( y = f(x) \) to \(\frac{1}{9}\) of its original value. Hence, the graph that currently peaks at 8 will peak at \(\frac{8}{9}\).**Steps to Graph \( y = \frac{1}{9}f(x) \):**1. Identify key points on the original graph, such as the vertex and x-intercepts.2. Multiply the y-coordinate of each point by \(\frac{1}{9}\).3. Plot the transformed points and connect them to maintain the V-shape.This exercise demonstrates how transformations affect the shape and position of graphs in the coordinate system.

Answered: Use the graph y=f(x) to graph the given…

Use the graph y=f(x) to graph the given function. y = f(x) -8 -6 y = -— -f(x) -2 + -2 10 6 1. 2 4 6 8

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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