Question

The function g(x) = 1/2 |x| is a transformation of the absolute value parent function. Which graph shows g(x)?

Answer 1

Parent function:

`f(x)=\lvert x\rvert`

Transformation: compression by a factor of 1/2

`g(x)=(1)/(2)\lvert x\rvert`

The given transformation compress the graph vertically. Then you have the next grpah:

In green the parent function and in purple the transformed fumction