Answer:
C. g(x) = x² + 4
Explanation:
The vertex of the red parabola is shifted 4 units up on the y-axis.
There was no movement along the x-axis, therefore choices a and b are incorrect.
g(x) = (x + 4)² shifts the parabola to the left 4 units.
g(x) = (x - 4)² shifts the parabola to the right 4 units.
g(x) = x² - 4 shifts the parabola down 4 units.
g(x) = x² + 4 shifts the parabola up 4 units.
Therefore the answer is C. g(x) = x² + 4