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

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

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)