Finding a point on a parabola

Question

I need to find the point (x,15) on the parabola with the equation h(x)=-8x^2+50x+26. How would I calculate that out.

Answer 1

You know that h(x) must equal 15 at this point, so

-8x² + 50x + 26 = 15 ⇒

-8x² + 50x + 11 = 0

Now solve this last equation for x using the quadratic formula. You will get 2 real solutions.