Question

what is the y coordinate of the vertex of the parabola that is givenby the equation bellow:

x = -2.5(x-3)^2 + 5

Answer 1

The general equation in vertex form is given by:
\((y-k)=a(x-h)^2\) for a parabola with vertical axis
or
\((x-h)=a(y-k)^2\) for a parabola with horizontal axis.
where
(h,k) represents the vertex.
I suspect there is a typo in the question where the equation should read:
\(y=-2.5(x-3)^2+5\) which is a parabola with vertical axis

Answer 2

sorry I typed it wrong, its \[x = -2.5(y-3)^2 + 5\]

Answer 3

In that case, it is a parabola with a horizontal axis.
But the coordinates (h,k) still apply.
It looks approximately like this.