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See all the wonderful things Kathleen Fellin has made

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The Quadratic Pals!!! Lucas Marino, Brody Snyder, Sammy Green, Vedant Wesade

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The Quadratic Pals!!! Lucas Marino, Brody Snyder, Sammy Green, Vedant Wesade

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The US military desires to place a nuclear strike onto the ocean for a test. The missile trajectory starts at (0, 0) and travels 150 miles west. given that one point of the trajectory is (10, 280). What is the the highest point the missile can reach?

How to Solve:

First, make the equation in intercept from, y= a(x)(x - 150). Then, plug in the coordinate into the equation in order to find a: 280=a(10)(10-150). Solve to get -0.2. Afterwards, plug in a into the initial equation and solve for the vertex. To solve for the vertex, average out P and Q, 0 and 150, to get 75. Then plug in 75 for x to get the y value of the vertex. The vertex will be (75,1125) and get 1125 as the max height of the missile

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The Polynomial People: Ryan Mast, Stephen Kristl, Molly Mishulin, Liam Anderson

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The Polynomial People: Ryan Mast, Stephen Kristl, Molly Mishulin, Liam Anderson

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A group of four kids are at a water park, they want to go on a log ride, but first their crazy parents want to know the position of the log ride before they go on. The ride starts at (0, 0), then the ride goes across 20 feet and up 50 feet, so another point is (20, 50), then the ride drops to the ground and across 20 feet, so another point is (40, 0). Then the ride goes up 30 feet and across 10 feet, so another point is (50, 30). After that, the ride goes down to ground level and across 10 feet. Find the equation of the polynomial

How to Solve:

First, find the x-intercepts of the problem, 0, 40 (double), 60. Then sketch the graph with the coordinates that were shown. Looking at the graph you sketched, find the end behavior, which is up then down. Then plug all the x-ints into the equation with the + or - a,    y = -x(x+40)^2(x+60).

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The Parabolas: Rachel Brennecke, Autumn Kaelber, Brienne Bordes, and Avani Apte

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The Parabolas: Rachel Brennecke, Autumn Kaelber, Brienne Bordes, and Avani Apte

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A skateboard company has recently created a new striped ramp for their park and has forgotten the dimensions of the ramp. They sketched a drawing of the ramp on graph paper as seen below. All they remember is that the middle of the ramp, passes through (7,3). The company wants to know what all of the dimensions are for the ramp so that they can make sure that it meets the safety requirements. Based on the drawing below, what is the equation.

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The Quadrilaterals: Anna German, Jameson Kanary, J.T. Langlas, Meaghan  O'Connell

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The Quadrilaterals: Anna German, Jameson Kanary, J.T. Langlas, Meaghan  O'Connell

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A new McDonalds franchise wants to build a store near the school. The architect needs to know how to build the famous arches. The owner wants the arch to start at 2 feet and McDonalds arches always bounce 5 feet over, and at 10 feet over and pass through point (2.5,5), what is the equation the architect should follow to build the arches.

How to solve:
First find the x-intercepts. We know that the first one is (2,0) because the owner wants it to start at two. Next add two to five and ten feet because the arch is starting 2 feet over. Which gets you (7,0), (12,0). Finally plug in the point to find a, however, add 2 to x because of the starting point. So plug in (4.5,5). Finally don't forget to square the first point because it bounces. Finally you get: -0.7111(x-2)(x-7)^2(x-12)

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Polynomial Story Problem by the Number Ninjas (Seema Shah, Fallan Sherman, Olivia Rabah, and Natasha Mehta)

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Polynomial Story Problem by the Number Ninjas (Seema Shah, Fallan Sherman, Olivia Rabah, and Natasha Mehta)

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A family wants to add a pool to their backyard using the dimensions of the rectangular prism given in the first section of the picture.

1.) Write an equation to represent this situation in terms of volume (y).

2.) Sketch (by plotting the x-int(s) and the correct end behavior) a graph of the relationship of the dimensions to the overall volume.

3.) What is the degree of the equation? What is the end behavior in limit notation?

4.) If the volume is 1728 cubic feet, what is the value of x? What is the width?

5.) If x is (2 √3), what is the volume of the pool?