h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x)=1/2(x−1)^2−2

Kye 2021-06-11 Answered
h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
h(x)=12(x1)22
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pivonie8
Answered 2021-06-12 Author has 91 answers

We are starting with the parent function f(x)=x2

STEP 1: Vertically compress the graph by a factor of 1/2, to get y=(1/2)x2

STEP 2: Shift the graph by 1 unit to the right, to get y=1/2(x1)2

STEP 3: Shift the graph by 2 units downwards, to get y=1/2(x1)2)2, which is the required function h(x)

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