A college basketball team had a photographer take time-lapsed photos of a free throw to get measurements for the distance from the free throw line and the height of the basketball during the free throw. The following measurements were recorded from the photos: Distance (feet) Height (feet) 0 4 2 8.4 6 12.1 9 14.2 12 13.2 13 10.5 15 9.8 a. Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Round to decimal places. b. Using this function what is the approximate maximum height of the ball?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.103TI: Solve, rounding answers to the nearest tenth. The quadratic function h(x)=16t2+128t+32 is used to...
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4. A college basketball team had a photographer take time-lapsed photos of a free throw
to get measurements for the distance from the free throw line and the height of the
basketball during the free throw.
The following measurements were recorded from the photos:
Distance
(feet)
Height
(feet)
0
4
2
8.4
6
12.1
9
14.2
12
13.2
13
10.5
15
9.8
a. Find the quadratic equation for the relationship of the horizontal distance
and the height of the ball. Round to decimal places.
b. Using this function what is the approximate maximum height of the ball?
Transcribed Image Text:4. A college basketball team had a photographer take time-lapsed photos of a free throw to get measurements for the distance from the free throw line and the height of the basketball during the free throw. The following measurements were recorded from the photos: Distance (feet) Height (feet) 0 4 2 8.4 6 12.1 9 14.2 12 13.2 13 10.5 15 9.8 a. Find the quadratic equation for the relationship of the horizontal distance and the height of the ball. Round to decimal places. b. Using this function what is the approximate maximum height of the ball?
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