I have the midpoint of a quadratic equation, but do not know how to find the equation.?

Question

The midpoint of the quadratic has to be exactly (15.0363938, 15.67112254). How do I find the quadratic that is positive, which has this exact midpoint. I do not care about the other points, how wide the quadratic is all any other factors, except that it has that midpoint and that it is positive.

Answer 1

I assume by "midpoint" you mean "vertex." If that's the case, then:

y = (x - 15.0363938)² + 15.67112254

is one possibility. You can multiply it out to get it in standard form if you like.

Answer 2

I assume the midpoint is the vertex of the parabola. If so,

y-15.67112254 = (x - 15.0363938)^2