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

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

y=x+9

?

step-by-step explanation: