Question

what are the coordinates of the vertex of the function below? Write in the form (x,y)? y-9=-6(x-1)^2

Answer 1

So to get this into a form where you can find the vertex, you need to get y by itself. This is simple enough, you add 9 to both sides. Your question now becomes:
y=-6(x-1)^2+9
y=a(x-h)^2+k
Where (h, k) is your vertex

So your vertex is going to be
(1, 9)

Make sense?

Answer 2

So whenever I get these problems i just use the coordinates from the formula in the function?

Answer 3

Yes, your vertex will always be (h, k). Notice that the vertex is (1, 9) here even though you're subtracting the 1 -- if it was (x+1)^2, the vertex would be (-1, 9).

Answer 4

cool thank you

Answer 5

You're very welcome