The graphs below have the same shape. What is the equation of the red graph?
g(x) = ?
f(x)=x²
-5
5
g(x) =
A. g(x) = (x – 4)
B. g(x) = x2 + 4
C. g(x) = (x + 4)2
D. g(x) = x2 - 4

Option C is correct.

g(x) = x² + 4

Step-by-step explanation:

The image of the graph is missing from this qusstion, it was obtained and presented in the attached image to this answer.

Normally, f(x) = x²

And it is evident that g(x) is originally just given as g(x) = x²

But it has been moved along the y-axus to obtain what is available right now.

A vertical shift of magnitude c in a function is given as y + c = g(x) + c.

- If c is greater than 0, that is; positive, g(x) becomes g(x) + c

- If c is less than 0, that is; negative, g(x) becomes g(x) - c

And it is evident that the graph represented by the red line has moved up by 4 units, hence, the new function is given as

g(x) + 4 = x² + 4

Hope this Helps!!!