Question

The function h(t) = - 16t2 + 48t + 160 can be used to model the height, in feet, of an object t

seconds after it is launched from the top of a building that is 160 feet tall.
Two other forms of the function are:
h(t) = -16(t - 5)(t+2)
h(t) = -16(t-1.5)2 +196
Which value of the function represents the maximum height of the object?
A h(0)
B. h(1.5)
C. h(2)
D. h(5)

Answer 1

The maximum height of the object modeled by the quadratic function h(t) = -16t^2 + 48t + 160 is achieved at t = 1.5 seconds, corresponding to option B. h(1.5).

Step-by-step explanation:

The function h(t) = -16t2 + 48t + 160 models the height of an object launched from a building. The maximum height of the object occurs at the vertex of the parabola represented by this quadratic equation. The vertex form of this function, h(t) = -16(t-1.5)2 +196, makes it clear that the maximum height is reached at t = 1.5 seconds. Therefore, the correct answer is B. h(1.5), which represents the maximum height the object will reach.

Answer 2

answer is c because you have to put in the 2 and get -16