Answer
a) $f(x)=\sqrt x$
b) Vertical shrink
c) See graph
d) $g(x)=\dfrac{1}{2}f(x)$
Work Step by Step
We are given the function:
$g(x)=\dfrac{1}{2}\sqrt x$
a) The parent function is:
$f(x)=\sqrt x$
b) Vertically shrink $f(x)$ by a factor of $\dfrac{1}{2}$ to get $g(x)=\dfrac{1}{2}\sqrt x$.
c) Graph the transformation:
d) Use function notation to write $g$ in terms of $f$:
$g(x)=\dfrac{1}{2}f(x)$
