h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x)=-sqrt x+4

amanf 2021-09-26 Answered
h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
\(\displaystyle{h}{\left({x}\right)}=−√{x}+{4}\)

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Expert Answer

Maciej Morrow
Answered 2021-09-27 Author has 14977 answers

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

STEP 1: Reflect the graph across x-axis, to get \(y=-√x\)

STEP 2: Shift the graph by 4 units upwards, to get \(y=-√x+4\), which is the required function \(h(x)\)

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