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
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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
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