Write the equation of the parabola that has a focus at (10, 3) and a vertex at (10,7).

Question

im confused with this question

Answer 1

If the vertex of a vertical parabola is at (h,k) and the focal distance is of length p, the parabola can be given as 4p(y-k)=(x-h)^2.

Our focal distance is 7-3 = 4 = p.

Therefore, our parabola can be first written as follows: 4*4(y-7) = (x-10)^2

or y = [(x-10)^2]/16 + 7

I hope this helps! Feel free to reach out with any questions.