Answer:
The quadratic equation is

Explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:

It's vertex is the point

In which


Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at
, and it's value is
.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Quadratic equation:

The rock reaches a maximum height of 676 feet above the ground after 1.5 seconds.
This means that:


If the rock hits the ground below the ledge 8 seconds after it is thrown
This means that:

Relation of b and a:

This means that:

Relationship of c and a:



Finding a:




Since it is a quadratic equation, a cannot be 0.




Finding b and c:


The quadratic equation is given by:

The quadratic equation is
