Practice 1. Write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6, 0) and (4, 0). initial height of 2 meters. The arrow reaches its maximum height of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 32PPS
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a system of equations.
Practice
1. write a quadratic equation for the parabola that passes through the point (2, -3) with roots
(-6, 0) and (4, 0).
2. Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of
20 meters after it has flown a distance of 60 meters.
a. Write a quadratic function to represent the height of the arrow as a function of its distance.
b. Determine the height of the arrow after it has flown a distance of 100 meters.
3. Use your knowledge of reference points to write an equation for the quadratic function that has a
vertex at (4, -3) and passes through (6, -1).
4. Write a quadratic equation that passes through the points (-2, 8), (1, 14), and (0, 10).
11
Transcribed Image Text:a system of equations. Practice 1. write a quadratic equation for the parabola that passes through the point (2, -3) with roots (-6, 0) and (4, 0). 2. Mitzu shoots an arrow from an initial height of 2 meters. The arrow reaches its maximum height of 20 meters after it has flown a distance of 60 meters. a. Write a quadratic function to represent the height of the arrow as a function of its distance. b. Determine the height of the arrow after it has flown a distance of 100 meters. 3. Use your knowledge of reference points to write an equation for the quadratic function that has a vertex at (4, -3) and passes through (6, -1). 4. Write a quadratic equation that passes through the points (-2, 8), (1, 14), and (0, 10). 11
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