What is the equation for , vertex (-4,-1) and point (-6,-13)

please help and thank you

Guest May 10, 2017

#1**+4 **

I think this must be a parabola we are dealing with. The general form of a parabola in vertex form is:

y = a(x - h)^{2} + k, where (h, k) is the vertex.

We know the vertex...__h = -4__, and __k = -1__

y = a(x + 4)^{2} - 1

We know x = -6 and y = -13 makes the equation true. So plug these in and solve for a.

-13 = a(-6 + 4)^{2} - 1

-12 = a(-2)^{2}

-12 = 4a

__-3 = a__

Now we know h, k, and a. So the equation is:

y = -3(x + 4)^{2} - 1

hectictar
May 10, 2017