Quadratic Function

Factoring

100

Use Zero Product Property to solve the following Quadratic Equation.

(x-7)(x+2) =0

x=7 and x= -2

200

Solve the following quadratic equation by factoring. x2+3x+2 = 0

x=-2

x= -1

300

Solve the following quadratic equation by factoring. 

x² - 6x + 5 = 0

x=5

x= 1

400

Solve the following quadratic equation by factoring.

 x² - 6x - 27 = 0

x=9

x= -3

500

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x= -1/2

x= 3

Quadratic Facts

100

When solving quadratic equations, we are trying to find what feature of the parabola?

x-intercepts

200

What are the three different types of solutions we can have when solving quadratics

No solution

One solution

Two solutions 

300

How do we know a quadratic function does not have solutions when looking at a graph?

It does not touch the x-axis.

400

Give me an example for using Quadratic Functions.

Architecture, Sports,games.

500

How do we know a quadratic function does not have solutions when using the quadratic formula?

There will be a Negative Number under the square Root

Features of Parabola

100

This is the point where a quadratic function crosses the y-axis.

y-intercept

200

This point is the center of a parabola and can be a maximum or minimum, depending on the direction of the parabola.

Vertex

300

This line crosses the vertex of a parabola and divides the parabola in half.

Line of symmetry.

400

How will you identify it is a Quadratic Equation? (Specify)

Second degree equations.

500

Draw a sketch of a parabola and label the following features:

y-intercept, x-intercepts, vertex, minimum, Line of symmetry

Answers will vary

Quadratic Formulas

100

What is the formula to find the x-values?

x=-b/2a

200

Identify a, b and c in the following equation: 

x² + 6x + 5 = 0

a=1 

b=6

c=5

300

Identify a, b and c in the following equation: 

x² - 9x + 20 = 9

a= 

b= -9

c= 11

400

Solve the following quadratic equation: 

2x² + 9x + 4 = 0

x= -1/2

x= -4

500

Solve the following quadratic equation 

 4x² - 17x - 15 = 0

x= 5

x= -3/4

What's the best method?

100

Find the best method for solving the quadratic equation below:

x2+6x+9 = 0

Factoring

200

Find the best method for solving the quadratic equation below:

-x²-4 = 0

Factoring

300

Find the best method for solving the quadratic equation below:

5x²+2x-2 = 0

Area Model method.

400

Find the best method for solving the quadratic equation below:

x2-7x+5 = 0

Area Model method

500

True or false?

Using the quadratic formula and factoring will give you different results.

False.