How do you find the axe of symetry, summit, and minimum/maximum from two points on a parabola? Example, the points (5,-2) and (-9,-2) are on a parabola. What is the summit? How do you find it?
you can find the axis of symmetry ... since (5,-2) and (-9,-2) have the same y-value, the axis of symmetry will split the x-values. the equation for the axis of symmetry is ...
I will guess that, by "summit", you mean "vertex". However, without more information, I'm afraid there is no way to find "the" quadratic through the two points.
The x-value of the vertex will be exactly midway between the x-value of the two listed points, since their y-values are the same. But there is no way to be sure of the y-value of the vertex, or if the vertex is a maximum or a minimum. Sorry.