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Let f(x)=3x^2+5 . The quadratic function g(x) is f(x) translated 3 units up. Enter the equation for g(x) in the box. g(x) =

User Surya Tej
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1 Answer

4 votes

Answer:
g(x)=3x^2+8

Explanation:

There are some transformations for a function
f(x). Two of those transformations are:

1. If
f(x)+k, then the function is translated "k" units up.

2. If
f(x)-k, then the function is translated "k" units down.

In this case, you have the following Quadratic function
f(x) given in the exercise:


f(x)=3x^2+5

According to the information given, the function
g(x) is obtained by translating the Quadratic function
f(x) 3 units up. Based on this, you can identify that the transformation is the following:


f(x)+k

Where
k=3

Therefore, you can determine that:


g(x)=f(x)+3=3x^2+5+3\\\\g(x)=3x^2+8

User Cherri
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