Equation of a parabola?

Question

can you help with this.....
find the equation of the parabola with vertex(1,5) and passing the point (2,7)

Answer 1

The general equation for a parabola is

(y - k)² = 4a(x - h)

where h and k are the x- and y-coordinates of the vertex and the focus is at ( h, k + a ).

So you know h = 1 and k = 5. You also have the point ( 2, 7 ). Plug all of that in and solve for the remaining unknown, a.