# h is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to h. (c) Ske

h is related to one of the six parent functions.

(a) Identify the parent function f.

(b) Describe the sequence of transformations from f to h.

(c) Sketch the graph of h by hand.

(d) Use function notation to write h in terms of the parent function f. $$\displaystyle{h}{\left({x}\right)}={\left({x}−{2}\right)}^{{3}}+{5}$$

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d2saint0

a) Parent function: $$\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}$$
b) -Horizontal shift 2 units to the right
-Vertical shift 5 units upward
c) The graph will be:
[Graph]
d) In function notation, $$h(x)=f(x-2)+5$$