Question

g is related to one of the parent functions. Describe the sequence of transformations from f to g. g(x) = -x^3 - 1

Transformations of functions
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asked 2021-05-08

g is related to one of the parent functions. Describe the sequence of transformations from f to g. \(g(x) = -x^3 - 1\)

Answers (1)

2021-05-09
We are starting with the parent function \(\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}\)
STEP 1: Reflect the graph across x-axis, to get \(\displaystyle{y}=-{x}^{{3}}\)
STEP 2: Shift the graph by 1 unit down, to get \(\displaystyle{y}=-{x}^{{3}}-{1}\), which is the required function g(x)
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