Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry,
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
The maximum height of the diver is therefore 4 meters.