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. \(\displaystyle{h}{\left({x}\right)}={\left({x}−{2}\right)}^{{3}}+{5}\)