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