Question

Let f(x)=4x2+5. The function g(x) is f(x) translated up 4 units. Enter the equation of g(x) in the box.

Please Help!

Answer 1

Al you have to do is add 4 to the equation
This gives you g(x)=4x^2+9 which is your answer

Answer 2

`g(x)=4x^2+9`

Explanation:

We will use the fact that if a function f(x) is translated 'a' units up then the equation of the translated function be f(x)+a

The given function is
`f(x)=4x^2+5`

Given that, the function g(x) is f(x) translated up 4 units.

Hence, we have

`g(x)=f(x)+4\\\\g(x)=4x^2+5+4\\\\g(x)=4x^2+9`

The equation of g(x) is
`g(x)=4x^2+9`