Ask an Expert
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)^3 + 2

Transformations of functions
ANSWERED
asked 2021-06-12

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. $$h(x) = (x - 2)^3 + 2$$

## Answers (1)

2021-06-13
(b)We are starting with the parent function $$\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}$$
STEP 1: Shift the graph hy 2 units to the right, to get $$\displaystyle{y}={\left({x}-{2}\right)}^{{3}}$$
STEP 2: Shift the graph hy 2 units upwards, to get $$\displaystyle{y}={\left({\left({x}-{2}\right)}^{{3}}\right)}+{2}$$, which is the required function h(x) Shift the graph by 2 units the right and 2 units upwards

expert advice

...