8 If f(x) = x2, what is g(x)?
7
6
5
g(x
4
3
2
-5
- 5
4
-3
-2
6

The new function is g(x) = x² +1

Step-by-step explanation:

Explanation:-

Given that the function f(x) = x²

From graph ,

The parabola  y = x² is shifting to up with '1' units

                    y = x² +1

The new function is g(x) = x² +1

Verification:-

    y = x²+1

Put x=0 ⇒ y =1

The point (0,1) lies on the parabola y = x²+1

similarly put x =1 and y = 2

The Point (1,2) lies on the Parabola y = x²+1

∴ The new graph  y = x²+1