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JeopardyFactoring
Quadratic Functions
Zeroes and Vertex
Describing Polynomials
Modeling & Regression
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Final Jeopardy
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$100 Factoring
Factor: x2 + 8x + 12
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$200 Factoring
Factor: 3x3 – 18x – 21
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$300 Factoring
Factor: 2x2 – 72
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$400 Factoring
Factor: 3x2 + 7x – 6
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$500 Factoring
Factor: x3 – 2x2 – 9x + 18
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$100 Quadratic Functions
Does the following parabola open up or down?
f(x) = 3x2 – 4x + 11
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$200 Quadratic Functions
Find the maximum or minimum value of the following parabola and state whether it is the maximum or minimum:
f(x) = x2 – 7x – 30
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$300 Quadratic Functions
What is the axis of symmetry of the following?
f(x) = 4x2 + 24x + 11
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$400 Quadratic Functions
Sketch a graph of a parabola and clearly label its vertex, axis of symmetry, y-intercept, and zeroes.
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$500 Quadratic Functions
A parabola has a vertex of (-4, 6) and a y-intercept of 14. Write an equation of the parabola in vertex form.
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$100 Zeroes and Vertex
Does the following equation have real or complex roots?
4x2 + 3x + 20 = 0
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$200 Zeroes and Vertex
Find the zeroes of the function 4x2 + 3x + 20 = 0
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$300 Zeroes and Vertex
Rewrite the following equation in vertex form:
2x2 – 8x = -13
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$400 Zeroes and Vertex
Name BOTH ways you can tell if a quadratic function has real or complex roots.
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$500 Zeroes and Vertex
Given the following equation: 3x2 + 12x = 6
Find its vertexWrite it in vertex formFind its zeroes
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$100 Describing Polynomials
Is the following function even or odd? How do you know?
f(x) = 4x5 – 9x2 + 4
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$200 Describing Polynomials
Write the end behavior of the following function using limits:
f(x) = -2x3 + 4x2 – 12
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$300 Describing Polynomials
Is the following function even or odd?
AND What is the sign of its leading coefficient?
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$400 Describing Polynomials
What is the highest power of the function to the right? How do you know?
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$500 Describing Polynomials
Sketch a graph of the function below with accurate zeroes and end behavior.
f(x) = -2x4 + 4x3 – 14x2
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$100 Modeling and Regression
A person throws a tennis ball as high as they can in the air, and the height of the tennis ball in feet after t seconds is modeled by the equation h = -16t2 + 8t + 5.
What is the maximum height of the tennis ball rounded to the nearest foot?
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$200 Modeling and Regression
A person throws a tennis ball as high as they can in the air, and the height of the tennis ball in feet after t seconds is modeled by the equation h = -16t2 + 8t + 5.
After how many seconds did the tennis ball hit the ground?
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$300 Modeling and Regression
Find the quadratic regression for the following situation:
let x = 0 at 1900
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$400 Modeling and RegressionWhat is the r2 value for the quadratic regression in the table below and what does it tell us about the quadratic model?
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$500 Modeling and RegressionThe following equation models the profit in hundreds of dollars per hundreds of books sold at Barnes and Noble.
P = 0.02n2 + 3.40n 16. If they made a profit of $100,000, how many books did they sell?If they sold 4200 books, how much money did they make?
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Final JeopardyThe volume of a box can be described with the formula V = x(4 – 2x)(7 – 2x). What is the maximum volume of the box and what is its height at that volume?