The graphs below have the same shape. What is the equation of the red graph?
g(x) = ?

f(x)=x²

O A. g(x) = x2 - 3
O B. g(x) = (x - 3)2
O c. g(x) = x2 + 3
D. g(x) = (x+3)2

D.

Step-by-step explanation:

Since the upscaling in the y-axis is not the main focus of this equation (being g(x) and not g(y)), the change is not applied to the x-axis. Hence, we can rule out (x-3)^2 and (x+3)^2 since they apply changes to the x-axis.

Finally, since this is an upscaling of the y-value on the y-axis, the answer is x^2 + 3 and not x^2 - 3.

Hope this helped!