Parabola from Roots
Slide the roots (A,B) left and right. You will notice the VERTEX V moves up and down as the roots get closer together or farther apart.
(1) Find a position for A,B that sets V exactly 1 unit above the X-axis.
(2) Find A,B to set V exactly 9 units above the X-axis.
(3) Make a RULE about the relationship between the height of V and the distance between A and B.
(4) Use algebra to PROVE your rule.
Dave Mulkey, Created with GeoGebra