Answer:
The answer to your question is the letter A. g(x) = -x² - 4
Step-by-step explanation:
From the graph, we observe that g(x) is a vertical parabola that opens downwards. So, the general formula for this parabola is:
(x - h)² = -4p(y - k)
For g(x)
Vertex = (0, -4)
and p must be -1/4
Then
(x - 0)² = -(y + 4)
Simplify
x² = -y - 4
-Solve for y
-y = x² + 4
y = -x² - 4 or g(x) = -x² - 4
