Answer
Height is function of time, so the coordinates have form (t,h).
The $x$ coordinate of the vertex is the time at which the stone reaches its highest point.
The $y$ coordinate of the vertex is the maximum height.
The $x$ intercepts give the times that the stone is at zero height
(launch, time when it hits the ground again.)
The $y$ intercept gives the height of the stone at time zero
(do we launch from the ground or from a raised platform.)
Work Step by Step
No steps involved. The answer contains the needed explanations.