Answered: For Exercise, use the graph of y = f(x)…

Math

Algebra

For Exercise, use the graph of y = f(x) to graph the given function. -3--y = f(x)- -5-4-32-1 y = f(x + 2) – 3

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.5: Transformation Of Functions

Problem 3TI: Given f(x)=|x| , sketch a graph of h(x)=f(x-2)+4 .

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Question

For Exercise, use the graph of y = f(x) to graph the given function.
-3--y = f(x)-
-5-4-32-1
y = f(x + 2) – 3

Expert Solution

Step 1

means the graph f(x) moved 2 units to the left, 3 units down and shrank by 1/2 vertically.

So the new x is (x-2) and new y is y/2 -3

We take the vertices and apply the transformations on them.

Step by step

Solved in 2 steps with 3 images

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