1. A ball is thrown upward and outward from a height of 7 feet. The height of the ball, f(x), in feet, can be modeled by f(x) = -0.2x2 + 2.1x +7
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is
feet, which occurs
feet from the point of release.
(Round to the nearest tenth as needed.)
b. How far does the ball travel horizontally before hitting the ground?
feet
(Round to the nearest tenth as needed.)
c. Graph the function that models the ball's parabolic path. Choose the correct graph below.
OA
ОВ.
c.
D.
251
20-
254
20-
38
66
15-
25-
20
15
10
5
01
25
20-
15
10-
5-
15
Height
Height
Height
Height
10-
5
0
0 5 10 15 20 25
Horizontal Distance
10-
5
0
0 5 10 15 20 25
Horizontal Distance
A
-
0 5 10 15 20 25
Horizontal Distance
0 5 10 15 20 25
Horizontal Distance