Question

Dajuan has family in Jamaica who teach him how to play cricket, a popular bat-and-ball sport

there. The quadratic function, f (t), can be used to represent the height of a ball, in feet, t seconds
after Dajuan hits the ball. What is the maximum height the ball will reach?
f(t)=-16(t-3)² + 148

Answer 1

148 feet

Explanation:

Given quadratic function:

`f(t)=-16(t-3)^2+148`

To find the maximum height the ball will reach, we need to determine the vertex of the given quadratic function f(t).

The vertex of a quadratic function in the form f(t) = a(t - h)² + k is given by the coordinates (h, k).

In this case, function f(t) is already in vertex form, so we can directly read the vertex coordinates from the expression.

The vertex of the function is (3, 148), where:

• h = 3 represents the time in seconds.
• k = 148 represents the height in feet.

Therefore, the maximum height the ball will reach is 148 feet.