Let f(x)=3x2+5 .

the quadratic function g(x) is f(x) translated 3 units up.

enter the equation for g(x) in the box.
g(x) =

3x^2+8

Step-by-step explanation:

I just took the test

g(x) = 3x² + 8

Step-by-step explanation:

Let f(x) = 3x² + 5

Now, the given function f(x) is translated up by 3 units and is equal to g(x)

And according to the rule of translation , if the graph of a function f(x) is to be translated up by c units then the equation becomes f(x) + c

Since, the graph is translated by 3 units

⇒ g(x) = f(x) + 3

⇒ g(x) = 3x² + 5 + 3

⇒ g(x) = 3x² + 8

your answer is

a.

5

step-by-step explanation: