The vertex of this parabola is at (-3, 6). which of the following could be its equation?

a. y = -3(x + 3)2 + 6
b. y = -3(x + 3)2 - 6
c. y = -3(x - 3)2 + 6
d. y = -3(x - 3)2 - 6

Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex

therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6

A is ansre

So,

The vertex form of a parabola is:



and the vertex is at (h,k).

Thus, the equation will have to look something like this:



Only option A matches these criteria, so is must be the correct option.

Ithink the answer is c