What is the new equation for the pictured graph after transformations from the p

deliriwmfg

deliriwmfg

Answered question

2021-11-21

What is the new equation for the pictured graph after transformations from the parent function f(x)=lxl showing the transformations

Answer & Explanation

Otigh1979

Otigh1979

Beginner2021-11-22Added 17 answers

Step 1
The given parent function is
f(x)=|x|
First shrink the graph of the function in the x direction by 5 units.
Then the equation of the function becomes,
f(5x) =|5x|
The graph of the parent function f(x) =|x| is shown in black and the graph of the transformed function f(5x) =|5x| is shown in blue.
image

Step 3
Now vertically translate the graph of f(5x)=|5x| downwards by 5 units as follows
g(x)=f(5x)-5
=|5x|-5
The graph of the function g(x) is shown in red.
image Therefore, the new equation after transformations from parent function
f(x)=|x| is g(x) = |5x|-5|.

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