Question

Let f(x)=12x2+4.

The function g(x) is a vertical stretch of f(x) by a factor of 4.

What is the equation of g(x)?



Enter your answer in the box.
g(x) =

Answer 1

g(X)=
16x^2+4
Parent function is y=x^2

Answer 2

`g(x)= 48x^2+16`

Explanation:

given f(x)=
`12x^2 +4`

The function g(x) is a vertical expansion of f(x) by a factor of 4.

when f(x) is vertically expansion by 'a' f(x) becomes a f(x)

For vertical expansion by a factor of 4 we multiply f(x) by 4

So
`g(x)= 4(f(x))`

`g(x)= 4(12x^2+4)`

`g(x)= 48x^2+16`