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) = - 0.1x +0.7x+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. O B. Oc. 25- 20- 15- 10- 5- 25- 20- 15- 10- 25- 20- 15- 10- 5- 0- 05 101520 25 Horizontal Distance 05 10152025 Horizontal Distance 05 101520 25 Horizontal Distance Click to select your answer(s). Height Height Height

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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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) = - 0.1x
+0.7x+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.
O B.
Oc.
25-
20-
15-
10-
5-
25-
20-
15-
10-
25-
20-
15-
10-
5-
0-
05 101520 25
Horizontal Distance
05 10152025
Horizontal Distance
05 101520 25
Horizontal Distance
Click to select your answer(s).
Height
Height
Height
Transcribed Image Text: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) = - 0.1x +0.7x+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. O B. Oc. 25- 20- 15- 10- 5- 25- 20- 15- 10- 25- 20- 15- 10- 5- 0- 05 101520 25 Horizontal Distance 05 10152025 Horizontal Distance 05 101520 25 Horizontal Distance Click to select your answer(s). Height Height Height
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