Algebra 1 Quadratic Functions Review

Quadratic Graphs

100

What is the name of the line that divides a quadratic function exactly in half?

The axis (or line) of symmetry

200

What is the name of the point on a quadratic function that will be the maximum or minimum of the function?

The vertex

300

Find the minimum of this graph. 

x² +12x+ 32

(-6, -4)

400

What is the standard form of a quadratic equation?

a.) y= ax² +bx + c

b.) y = mx +b

c.) y - y₁ = m(x - x₁)

a.) y = ax² +bx + c

500

BONUS

When you mix all the colors of light, what color do you get?

White

Quadratic Properties

100

Solve for x 

8x² - 10 = 62

8x² - 10 = 62

8x² = 72

x² = 9

x = 3

x=-3

200

Is the vertex of the quadratic function y = 5x² + 10x - 2 a maximum or minimum point?

It's a minimum

300

BONUS

Which phrase is by Hannah Montana? 

a.) "Everybody makes mistakes, everybody has those days"

b.) "We're all in this together" 

c.) "Everything is not what it seems"

a.) "Everybody makes mistakes, everybody has those days"

400

Solve for b: 

7b² + 2 = 114

7b² + 2 = 114

7b² = 112

b² = 16

b = 4

b= -4

500

BONUS 

What is our last day of Spring Break? 

a.) 3/12

b.) 3/10

c.) 3/13

c.) 3/13

Quadratic Functions I

100

The coordinates of the y-intercept for the quadratic function: 

y=-2x² + 5x - 7

What is (0,-7)?

200

Find the zeros (x-intercepts) of the following: 

y = x² - 8x - 20

x = 10 and x = -2

300

What is the axis of symmetry for the function y= x² + 12x +32?

x=-6

400

Find the vertex for the quadratic function: 

y = x² + 10x + 6

What is (-5, -19)

500

The coordinates of the vertex for this quadratic function:

 y = x² - 4x + 8

What is (2, 4)?

Factoring

100

Factor

x² + 3x + 2

x² + 3x + 2

(x+2)(x+1)

200

The vertex for this quadratic function:

y = x² - 8x - 3

What is (4, -19)?

300

Factor

x² + x

x(x +1)

400

What is Harry Styles new album called? 

a.) Harry's House

b.) Kiss all the time, disco occasionally

c.) 1989

b.) Kiss all the time, disco occasionally

500

SOLVE

x² - 4x + 4 = 0

x² - 4x + 4 = 0

(x - 2) (x - 2)=0

x = 2

Functions

100

Show the first step of completing the square: 

x² + 12x - 40 = 0

x² + 12x - 40 = 0

x² + 12x = 40

200

Show the next step for completing the square: 

x² + 12x = 40

x² + 12x + ___ = 40 + ___ 

x² + 12x = 40

x² + 12x + 36 = 40 + 36

300

Who won on Sunday in the Duke versus UConn March Madness game? 

UConn

400

Solve using the QUADRATIC FORMULA: 

3x² - 5x - 10

(Look at the formula on the board)

x = 5 +- /145

           6

500

Compare f(x)= -x²+2x+4 and g(x)= -0.3x²-0.6x-0.2. Which function has the greater maximum value, and what is that value?

f(x) has a greater maximum value. The value is 5.