# 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+1 + 9

h is related to one of the parent functions described in this chapter. Describe the sequence of transformations from f to h.
$$\displaystyle{h}{\left({x}\right)}=-√{x}+{1}+{9}$$

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rogreenhoxa8
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 1 unit to the left, to get y=-√x+1, which is the required function h(x) STEP 3: Shift the graph by 9 units upwards, to get y=-√(x+1)+9, which is the required function h(x)