The vertex of the parabola is at (-3, -2). Which of the following could be its equation?

Answer:
The answer to your question is the last choice
Step-by-step explanation:
Data
Vertex = (-3 , -2)
From the picture, we know that it is a vertical parabola that opens downwards.
Formula for this parabola
-(x - h)² = 4p(y - k)
- if p = 1/4, then 4p = 4(1/4) = 1 and the equation is
- (x - h)² = y - k
The equation is negative because it opens downwards.
- Substitution
-(x + 3)² = y + 2
- Solve for y
y = -(x + 3)² - 2