Question

A parabola opens up and passes through (-4, 2) and (6, -3). How do you know that (-4, 2) is not the vertex

Answer 1

Explanation:

The minimum is at the vertex of this parabola because it opens up.

Now if (-4, 2) is the minimum then all the y values on the parabola must be > 2,

But we are given that y = -3 is on the graph ( the point (6,-3) - that is y < 2 here,

Therefore (-4, 2) cannot be the vertex .