# 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.

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. h(x)=√x−1+4

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Cristiano Sears
a) Parent function: $$\displaystyle{f{{\left({x}\right)}}}=√{x}$$
b) - Horizontal shift 1 unit to the right - Vertical shift 4 units upwards
c) The graph will be:
d) In function notation, $$\displaystyle{h}{\left({x}\right)}={f{{\left({x}-{1}\right)}}}+{4}$$ <- Answer