Angry Birds: The Parabolic Edition

Smrithi Upadhyayula

Blue Bird

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Explanation

Blue Bird starts his flight from point (6,0). His flight path reaches a maximum height of 22 yards and ends at point (26,0).


First, I graphed the starting and ending points, (6,0) and (26,0). Then, I found the point exactly in the middle of these two and counted up 22 units from there, for the maximum height of 22. This was the vertex. By connecting these three points, I completed the graph.

Black Bird

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Explanation

Black Bird's flight path can be modeled by the quadratic equation y=-x^2+16x-39.


I calculated the axis of symmetry using the formula x=-b/2a. X=-16/-2, so X=8. Then, I plugged 8 into the equation for X. Y=-64+128-39. Y=25. So, the vertex is (8,25). After graphing the vertex, I graphed the y intercept, -39, and plugged in more values of X to find more points to graph.

Red Bird

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Explanation

Red Bird's flight is represented by the graph.


Seeing that the graph starts and ends at 0 and 24, the axis of symmetry has to be the midpoint, 12. According to the graph, the maximum point is 15, so the vertex is (12,15).

Yellow Bird

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Explanation

The table below contains partial data points of yellow bird's trajectory.
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I completed the table and graphed the values, labeling the highest point as the vertex.

Conclusion

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Questions

What is the maximum height your bird flew? 22 yards


What was the total distance your bird traveled? 44 yards


Yellow bird flew the highest, and red bird traveled the longest.


Yellow bird hit King Pig, and red bird hit Moustache Pig.