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
ANSWERED
asked 2021-05-17

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

Expert Answers (1)

2021-05-18
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)
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