A soccer ball is kicked from the ground by the goalie and lands 40 meters from where it was kicked. The ball's path is that of a parabola, and the ball reaches a maximum height of 3 meters. Find the equation of the parabola that models this situation (assuming an axis of symmetry at x = 0). 02=-=-3 100 (-3) 400 3 (-3) 400 (x-3) 3 O(x-3)=- 400

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.94TI: Find the intercepts of the parabola y=x24x5 .
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F
tly sunny
1
2
A soccer ball is kicked from the ground by the goalie and lands 40 meters from where it was kicked. The ball's
path is that of a parabola, and the ball reaches a maximum height of 3 meters. Find the equation of the
parabola that models this situation (assuming an axis of symmetry at x = 0).
F2
-8-
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2
W
2 =.
==
x²
=
-
100
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(x-3)
400
3
3
400 (-3)
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400
3
(y-3)
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6/29/20
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Transcribed Image Text:F tly sunny 1 2 A soccer ball is kicked from the ground by the goalie and lands 40 meters from where it was kicked. The ball's path is that of a parabola, and the ball reaches a maximum height of 3 meters. Find the equation of the parabola that models this situation (assuming an axis of symmetry at x = 0). F2 -8- @ 2 W 2 =. == x² = - 100 F3 (x-3) 400 3 3 400 (-3) 3 (x-3)=- ² 400 3 (y-3) E F4 $ 4 R F5 % 5 Q Search F6 T G 6 F7 4- Y H F8 & 7 A+ U F9 * 8 1 F10 ( 9 K a F11 O ) 0 L F12 P Prt Sc { [ = Backspace 1:13 6/29/20 * Enter
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