Answer:
C
Explanation:
The red graph is obtained by shifting the graph of f(x) = 4 - x² upwards by some amount. We can see that the highest point on the red graph occurs at x = 0, where the value is 4.
To shift the graph of f(x) upwards by 3 units, we can add 3 to the entire function:
f(x) + 3 = 4 - x² + 3
= 7 - x²
So the equation of the red graph is:
g(x) = 7 - x²
Therefore, the correct answer is option C: g(x) = 7 - x².