radical functions

Question

Let g be a vertical stretch bay factor of 2, followed by a translation 2 units up of the graph f(x)= √z+3. Write a rule for g described by the transformation of the graph of f.

Answer 1

f(x)=√(z+3)

vertical stretch by a factor of 2: 2√(z+3)

translation 2 units up: 2√(z+3)+2

g(z)=2√(z+3)+2