# 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.

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

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mhalmantus

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

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)