# h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h. h(x)=-sqrt x+4

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

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Maciej Morrow

We are starting with the parent function $$f(x)=√x$$

STEP 1: Reflect the graph across x-axis, to get $$y=-√x$$

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