Question

The function g is defined as follows.

g(x) = 5x² +5
If the graph of g is translated vertically upward by 3 units, it becomes the graph of a function f.
Find the expression for f(x).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
f(x) =
8
5

Answer 1

f(x)=5x^2+8

In order to translate the graph up by 3 we just need to add 3 to the expression