Question

The vertex of the parabola below is at the point (-3, -5). which of the equations below could be the one for this parabola?

A. x = -3(y + 5)^2

B. y = (x + 3)^2 -5

C. y = (x - 5)^2 + 3

D. y = (x + 3)^2 + 5​

Answer 1

Explanation:

The coordinates of a vertex are (h, k). If our vertex is (-3, -5), then h = -3 and k = -5. The vertex form of a parabola is

`y=(x-h)^2+k` so if we fill in our h and k values, the equation becomes

`y=(x-(-3))^2+(-5)` and, simplified, is

`y=(x+3)^2-5`

Choice B.