Question

The height (h) in feet of a ball (t) seconds after being tossed upward is given by the function h(t) = 72t - 12t². How can we find the maximum height that the ball will reach?

A. Calculate using the formula -b/2a

B. Calculate the value of h as 3, plug 3 into the equation for t

C. Calculate the value of h as 6, plug 6 into the equation for t

D. Factor out -8, then factor the remaining equation, then switch the signs or use the quadratic formula

Answer 1

To find the maximum height that the ball will reach, we can calculate using the formula -b/2a.

Step-by-step explanation:

To find the maximum height that the ball will reach, we need to determine the vertex of the parabolic function.

The height function h(t) = 72t - 12t² is in the form of ax² + bx + c, where a = -12, b = 72, and c = 0.

The formula to find the t-value at the vertex is t = -b/2a. Plugging in the values, we get t = -72/(2*-12) = -72/-24 = 3 seconds.

Substituting t = 3 into the height function, we can find the maximum height by evaluating h(3).

Therefore, the correct option is A. Calculate using the formula -b/2a.