Angry Birds Graphical Computations
Not what you're looking for?
Week 3 Seminar Application Activity: Angry Birds
Seminar 3 Application Activity: Angry Birds
Consider the following scenario:
Red Bird, Yellow Bird, Blue Bird and Black Bird are angry with the pigs who stole the birds' eggs. The birds want their eggs back and will stop at nothing to get them back. The flight path of the birds can be modeled with a parabola where "x" is the distance and "y" is the height.
Use the data below to help answer the following questions:
Red Bird starts his flight from point (10, 0). His flight path reaches a maximum height of 18 yards and lands at point (38, 0).
Yellow Bird's flight path can be modeled by the quadratic equation y=〖-x〗^2+14x-24
Blue Bird's flight is modeled by the following graph:
The table below contains partial data points of Black Bird's trajectory:
x 8 9 10 11 12 13 14 15 16 17 18
y 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5
In developing responses to the problems, be sure to show all work:
What is the maximum height of each bird's flight: (4points)
What is the axis of symmetry for each bird's flight: (4 points)
What was the total horizontal distance of each bird's flight: (4 points)
Which bird flew the highest? (2 points)
Which bird traveled the greatest horizontal distance? (2 points)
Which bird hit the following pigs:
King Pig located at point (21, 19.5) (2 points)
Moustache Pig located at point (9, 21) (2 points)
Purchase this Solution
Solution Summary
The solution is provided in a Word file. All computations are shown. A graph comparing the information given is shown.
Solution Preview
1. What is the maximum height of each bird's flight: (4points)
Red Bird
Answer: Maximum height = 18 yards (stated in the question)
Yellow Bird
Find the vertex. x = -14/(2*(-1)) = 7
Substitute into the equation -7^2 + 14*7 - 24 = 25
Answer: Maximum height = 25 yards
Blue Bird
Answer: Maximum height = 12 yards (seen from the graph)
Black Bird
Answer: Maximum height = 32 yards (highest number in the y row)
2. What is the axis of symmetry for each bird's flight: (4 points)
Red Bird
(10 + 38) / 2 = 24
Axis of symmetry is x = ...
Education
- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona
Recent Feedback
- "Excellent work. Well explained."
- "Can you kindly take a look at 647530 and 647531. Thanks"
- "Thank you so very much. This is very well done and presented. I certainly appreciate your hard work. I am a novice at statistics and it is nice to know there are those out there who really do understand. Thanks again for an excellent posting. SPJ"
- "GREAT JOB!!!"
- "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.