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

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

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)