Answer
a) $f(x)=x^2$
b) Vertical shift 6 units upward
c) See graph
d) $g(x)=f(x)+6$
Work Step by Step
We are given the function:
$g(x)=x^2+6$
a) The parent function is:
$f(x)=x^2$
b) Vertically shift $f(x)$ 6 units upward to get $g(x)=x^2+6$.
c) Graph the transformations:
d) Use function notation to write $g$ in terms of $f$:
$g(x)=f(x)+6$
