Question

The function h(x) = 1/2 x] is a transformation of the absolute value parent
function, f(x) = |xl. Which graph shows h(x)?

Answer 1

Given the following functions:

$\begin{gathered} h(x)=\frac{1}{2}|x| \\ \\ f(x)=|x| \end{gathered}$

The function h(x) is a transformation of the function f(x)

From the given function, we can find the relation between them as follows:

$h(x)=\frac{1}{2}*f(x)$

So, the last equation represents a vertical compression as the factor multiplied by f(x) is less than 1

So, the graph of the functions will be as shown in option C

So, the asnwer will be C