Question

Given the function: f(x) = 2|x-2| + 3 Describe how the function is transformed A. Moves to the right by 2 and up by 3 units B. Moves to the left by 2, up 3 units, and is steeper than the parent function C. Moves to the right by 2, up 3 units, and is steeper than the parent function D. Moves to the left by 2, up 3 units, and is flatter than the parent function

Answer 1

In the general form:

$f(x)=A|x-B|+C$

$A$ is a stretch
$B$ is the horizontal shift
$C$ is the vertical shift

So in your case:

$A=2$
$B=2$
$C=3$

So you have a stretch by 2
A horizontal shift right 2
And a vertical shift up 3