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+4 + 8

Chaya Galloway 2021-06-13 Answered
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+4 + 8

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Expert Answer

Raheem Donnelly
Answered 2021-06-14 Author has 20704 answers
We are starting with the parent function \(\displaystyle{f{{\left({x}\right)}}}=√{x}\)
STEP 1: Shift the graph by 4 units to the left, to get \(\displaystyle{y}=√{\left({x}+{4}\right)}\)
STEP 2: Shift the graph by 8 units up, to get \(\displaystyle{y}=√{\left({x}+{4}\right)}+{8}\), which is the required function g(x)
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