Answer:
C. g(x) = x² + 4
Step-by-step 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<em> a</em> and<em> </em><em>b</em> are <u>incorrect.</u>
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