Jeopardy Factoring Quadratic Functions Zeroes and Vertex Describing Polynomials Modeling & Regression Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

$100 Factoring Factor: x 2 + 8x + 12

$200 Factoring Factor: 3x 3 – 18x – 21

$300 Factoring Factor: 2x 2 – 72

$400 Factoring Factor: 3x 2 + 7x – 6

$500 Factoring Factor: x 3 – 2x 2 – 9x + 18

$100 Quadratic Functions Does the following parabola open up or down? f(x) = 3x 2 – 4x + 11

$200 Quadratic Functions Find the maximum or minimum value of the following parabola and state whether it is the maximum or minimum: f(x) = x 2 – 7x – 30

$300 Quadratic Functions What is the axis of symmetry of the following? f(x) = 4x x + 11

$400 Quadratic Functions Sketch a graph of a parabola and clearly label its vertex, axis of symmetry, y-intercept, and zeroes.

$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.

$100 Zeroes and Vertex Does the following equation have real or complex roots? 4x 2 + 3x + 20 = 0

$200 Zeroes and Vertex Find the zeroes of the function 4x 2 + 3x + 20 = 0

$300 Zeroes and Vertex Rewrite the following equation in vertex form: 2x 2 – 8x = -13

$400 Zeroes and Vertex Name BOTH ways you can tell if a quadratic function has real or complex roots.

$500 Zeroes and Vertex Given the following equation: 3x x = 6 Find its vertex Write it in vertex form Find its zeroes

$100 Describing Polynomials Is the following function even or odd? How do you know? f(x) = 4x 5 – 9x 2 + 4

$200 Describing Polynomials Write the end behavior of the following function using limits: f(x) = -2x 3 + 4x 2 – 12

$300 Describing Polynomials Is the following function even or odd? AND What is the sign of its leading coefficient?

$400 Describing Polynomials What is the highest power of the function to the right? How do you know?

$500 Describing Polynomials Sketch a graph of the function below with accurate zeroes and end behavior. f(x) = -2x 4 + 4x 3 – 14x 2

$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 = -16t 2 + 8t + 5. What is the maximum height of the tennis ball rounded to the nearest foot?

$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 = -16t 2 + 8t + 5. After how many seconds did the tennis ball hit the ground?

$300 Modeling and Regression Find the quadratic regression for the following situation: let x = 0 at 1900

$400 Modeling and Regression What is the r 2 value for the quadratic regression in the table below and what does it tell us about the quadratic model?

$500 Modeling and Regression The following equation models the profit in hundreds of dollars per hundreds of books sold at Barnes and Noble. P =  0.02n n  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?

Final Jeopardy The 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?