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+3|−5.

Transformations of functions
ANSWERED
asked 2021-05-29

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
\(h(x)=|x+3|−5.\)

Expert Answers (1)

2021-05-30

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

STEP 1: Shift the graph by 3 units to the left, to get \(y=|x+3|\)

STEP 2: Shift the graph by 5 units downwards, to get \(y=|x+3|-5,\) which is the required function h(x)

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