Question

Describe the graph of g(x) = x²+2 compared with the graph of f (x) = x²A) the graph of g (x) =x²+2 would be shifted 2 units downB) the graph of g (x) =x²+2 would be shifted 2 units upC) the graph of g (x) =x²+2 would be shifted 2 units to the rightD) the graph of g (x) =x²+2 would be shifted 2 units to the left

Answer 1

the graph of g (x) =x²+2 would be shifted 2 units up (otpion B)

Step-by-step explanation:

f(x) = x²

g(x) = x²+2

According to the formula g(x) = f(x) + d

where d= 2

This is vertical translation up d units.

This meanns g(x) will move 2 units up on the y axis.

Hence, the graph of g (x) =x²+2 would be shifted 2 units up (otpion B)