Question

# h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x) = x^2 - 9

Transformations of functions
h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. $$\displaystyle{h}{\left({x}\right)}={x}^{{2}}-{9}$$
We are starting with the parent function $$\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}$$
STEP 1: Shift the graph by 9 units downwards, to get $$\displaystyle{y}={\left({x}^{{2}}\right)}-{9}$$, which is the required function h(x)