Question

(2 pts) Write the function, $y = |x|$ after the following transformations: 1) Reflect the function about the y-axis. 2) Compress the function vertically by a factor of 1/2. 3) Shift the function left 84 units. $y = $

Name: 2 pts write the function y x after the following transformations 1 reflect the function about the y axis 2 compress the function vertically by a factor of 12 3 shift the function left 84 uni 63647
Uploaded: 2021-07-23T14:40:58-08:00
Duration: 2 min 40 s
Channel: Yujie Wang
Description: 2 pts write the function y x after the following transformations 1 reflect the function about the y axis 2 compress the function vertically by a factor of 12 3 shift the function left 84 uni 63647

          (2 pts) Write the function, $y = |x|$ after the following transformations:

1) Reflect the function about the y-axis.
2) Compress the function vertically by a factor of 1/2.
3) Shift the function left 84 units.

$y = $

2 pts write the function y x after the following transformations 1 reflect the function about the y axis 2 compress the function vertically by a factor of 12 3 shift the function left 84 uni 63647

Added by David F.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Yujie Wang

07/23/2021

Step 1

Step 2: Reflect the function about the y-axis. To reflect a function $f(x)$ about the y-axis, we replace $x$ with $-x$. So, $y = |-x|$. Since $|-x| = |x|$, reflecting $y = |x|$ about the y-axis results in $y = |x|$. This is because the absolute value function is Show more…

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(2 pts) Write the function, $y = |x|$ after the following transformations: 1) Reflect the function about the y-axis. 2) Compress the function vertically by a factor of 1/2. 3) Shift the function left 84 units. $y = $