Which is one of the transformations applied to the graph of f(x)=x^to change it into the graph of g(x)=4x^+24x+30

Problem:
Find one of the transformations applied to the parent function f(x)=x^2 to change it into the graph g(x)=4x^2+24x+30.

Steps
1. Use completing square to transform g(x) into vertex form:
[tex]g(x)=4x^2+24x+30[/tex]
[tex]=4(x^2+6x+7.5)[/tex]
[tex]=4((x+3)^2-9+7.5)[/tex]
[tex]= 4((x+3)^2 - 1.5)[/tex]

2. Match above function g(x) with a transformed function of f(x), with vertical stretch factor a, horizontal translation h, and vertical translation k:
[tex]g(x)=a f(x-h) + k[/tex]

3. By comparison, we see that 
a=4,
h=-3
k=4(-1.5)=-6

So the three steps (any one of which should do for the answer) are:
translate left 3 units
vertical stretch 4 units
vertical translation -6 units.