Question

Let

f(x)=
1
2

x
2
+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) = 48x^2 + 4

Explanation:

If f(x) = 12x^2 + 4 then g(x) would be the main x^2 term of the function times 4. This becomes g(x) = 48x^2 + 4. This will keep the vertex the same but stretch the function and make it skinnier in looks.