Question

# g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. g(x) = (x + 3)^3 - 10

Transformations of functions

g is related to one of the parent functions described in Section 1.6. Describe the sequence of transformations from f to g. $$g(x) = (x + 3)^3 - 10$$

We are starting with the parent function $$\displaystyle{f{{\left({x}\right)}}}{x}^{{3}}$$
STEP 1: Shift the graph by 3 units to the left, to get $$\displaystyle{y}={\left({x}+{3}\right)}^{{3}}$$
STEP 2: Shift the graph by 10 units down, to get $$\displaystyle{y}={\left({x}+{3}\right)}^{{3}}-{10}$$ which is the required function g(x)