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+4

Transformations of functions
ANSWERED
asked 2021-06-07

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

Answers (1)

2021-06-08

We are starting with the parent function \(f(x)=\sqrt{x}\)

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

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

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