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

 

please help and thank you 

Guest May 10, 2017
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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
edited by hectictar  May 10, 2017

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