Answer
a) $f(x)=|x|$
b) Horizontal stretch
c) See graph
d) $g(x)=f\left(\dfrac{1}{2}x\right)$
Work Step by Step
We are given the function:
$g(x)=\left|\dfrac{1}{2}x\right|$
a) The parent function is:
$f(x)=|x|$
b) Horizontally stretch $f(x)$ to get $g(x)=\left|\dfrac{1}{2}x\right|$.
c) Graph the transformation.
d) Use function notation to write $g$ in terms of $f$:
$g(x)=f\left(\dfrac{1}{2}x\right)$
