Module 8 Game - Quadratic Functions

Graphing Quadratic Functions Vocabulary

100

a line that divides a parabola into two equal parts

Line of Symmetry

200

the highest point on a parabola that opens downward and the lowest point on a parabola that opens upward. It also lies on the axis of symmetry.

Vertex

300

A _______ of a quadratic function is a value for x that makes f(x) = 0

zero

400

These are two explanations of _____ ___________.

• If the leading coefficient is positive, the parabola opens upward (both ends continue up) and has a minimum value at the vertex.
• If the leading coefficient is negative, the parabola opens downward (both ends continue down) and has a maximum value at the vertex.

End Behavior

500

In order to find the __ __________, Evaluate the function at x = 0. 

y-intercept

Solving using Square Roots

100

Solve for the roots.

(x-3)^2=25

-2 and 8

200

Solve for the roots.

x^2-49=0

+7 and -7

300

Solve for the roots.

x^2-16=0

+4 and -4

400

Solve for the roots.

9x^2 + 5 = 41

-2 and 2

500

Solve for the roots.

2x^2-200=0

-10 and 10

Quadratic Formula

100

Solve using the quadratic formula

x^2-5x-14=0

7 and -2

200

Solve using the quadratic formula

2x^2+2x-12=0

2 and -3

300

Solve using the quadratic formula

x^2-4x+4=0

2

400

Solve using the quadratic formula

2x^2+3x-20=0

5/2 and -4

500

Solve using the quadratic formula

2x^ 2 − 7x − 13 = −10

(7+-\sqrt73)/4

Completing The Square

100

Solve the following equations by completing the square

x ^2 + 6x + 8 = 0

-2 and -4

200

Solve the following equations by completing the square

x ^2 + 14x − 15 = 0

1 and -15

300

Solve the following equations by completing the square

n^ 2 − 2n − 3 = 0

3 and -1

400

Solve the following equations by completing the square

k ^2 − 12k + 23 = 0

6+-\sqrt13

 

500

Solve the following equations by completing the square

p^ 2 + 14 p − 38 = 0

-7 +- \sqrt87