JeopardyFactoring

Quadratic Functions

Zeroes and Vertex

Describing Polynomials

Modeling & Regression

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

$100 Factoring

Factor: x2 + 8x + 12

$200 Factoring

Factor: 3x3 – 18x – 21

$300 Factoring

Factor: 2x2 – 72

$400 Factoring

Factor: 3x2 + 7x – 6

$500 Factoring

Factor: x3 – 2x2 – 9x + 18

$100 Quadratic Functions

Does the following parabola open up or down?

f(x) = 3x2 – 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) = x2 – 7x – 30

$300 Quadratic Functions

What is the axis of symmetry of the following?

f(x) = 4x2 + 24x + 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?

4x2 + 3x + 20 = 0

$200 Zeroes and Vertex

Find the zeroes of the function 4x2 + 3x + 20 = 0

$300 Zeroes and Vertex

Rewrite the following equation in vertex form:

2x2 – 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: 3x2 + 12x = 6

Find its vertexWrite it in vertex formFind its zeroes

$100 Describing Polynomials

Is the following function even or odd? How do you know?

f(x) = 4x5 – 9x2 + 4

$200 Describing Polynomials

Write the end behavior of the following function using limits:

f(x) = -2x3 + 4x2 – 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) = -2x4 + 4x3 – 14x2

$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?

$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?

$300 Modeling and Regression

Find the quadratic regression for the following situation:

let x = 0 at 1900

$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?

$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?

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?