Question

how do I get the vertex of a parabola?
\[y=x^2+16x+64\]

Answer 1

You could put it in vertex form by completing the square of the right side

Answer 2

I don't think we need to complete the square...
\[y=(x+8)^2\]

Answer 3

Yep thats it you noticed (16/2)^2 is 64 so you didnt have to do anything

So the vertex is (-8,0)

Answer 4

how do you know that that is the vertex? What's the formula for finding a vertex?

Answer 5

Well when its in vertex form

y=a(x-h)^2+k

(h,k) is the vertex

in this case h is -8 and k is 0

Answer 6

Makes sense! Thanks!!!