Experiment #1: While bouncing the Infinity Ball, Nikki notices that the trajectory of the ball is in the shape of a parabola when she compares the height of the ball to the distance away from her. She writes down a few observations in the chart below.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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skill and solving problems with parabolas.
1. Experiment #1: While bouncing the Infinity Ball, Nikki notices that the trajectory of the
ball is in the shape of a parabola when she compares the height of the ball to the distance away
from her. She writes down a few observations in the chart below.
Distance Away (St) | Height (ft)
Notes
Starting point
Maximum point
Falling toward the ground
0.
4.
32
6.
12
(a) Based on the symmetry of a parabola, how far away
will the ball be when it hits the ground?
(b) Write the equation of the parabola in vertex form
where the input is the distance away in feet and the
output is the height in feet.
(c) Using the answer from #2, what is the height of the
ball when it is 3 feet away?
(d) What is the other distance that will give you the
same height as #3?
4.
6.
Transcribed Image Text:skill and solving problems with parabolas. 1. Experiment #1: While bouncing the Infinity Ball, Nikki notices that the trajectory of the ball is in the shape of a parabola when she compares the height of the ball to the distance away from her. She writes down a few observations in the chart below. Distance Away (St) | Height (ft) Notes Starting point Maximum point Falling toward the ground 0. 4. 32 6. 12 (a) Based on the symmetry of a parabola, how far away will the ball be when it hits the ground? (b) Write the equation of the parabola in vertex form where the input is the distance away in feet and the output is the height in feet. (c) Using the answer from #2, what is the height of the ball when it is 3 feet away? (d) What is the other distance that will give you the same height as #3? 4. 6.
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