Quadratic Equations

Formulas

100

Axis of symmetry

x= -b/ 2a

200

Quadratic formula

x= +-b √( b² - 4ac) /2a

300

Sum and product of the roots

Sum: -b/a Product: c/a

400

Vertex Form of a quadratic equation

y= a(x - h)² + k

500

What is intercept form

y= a(x - p)(x - q)

Vertex/Intercepts

100

What are the x intercepts of y = -(x+1)(x-4)

(-1,0) (4,0)

200

What is the vertex of y = -2(x-4)(x+6)

(-1,50)

300

What is the vertex of y = (x+5)² - 1

(-5,-1)

400

What is the vertex of y = (x-7)(x-1)

(4,-9)

500

What is the vertex of y = -4(x-3)²

(3,0)

Graph Openings

100

Does the graph of this equation open up or down? y = (x+2)(x-1)

Opens Up

200

Does the graph of this equation open up or down? y = -4(x-2)² + 2

Open Down

300

Does the graph of this equation open up or down? y = 2(x-1)² - 6

Open Up

400

Does the graph of this equation open up or down? y = 5(x+5)(x-2)

Open Up

500

Does the graph of this equation open up or down? y = -3(x+4)² - 2

Open down

Standard Form

100

Write the following quadratic function in standard form. y = (x-2)² + 6

x² - 4x + 10

200

Write the following quadratic function in standard form. y = 3(x-3)² - 12

3x² - 18x + 15

300

Write the following quadratic function in standard form. y = 4(x+1)(x+2)

4x² + 12x + 8

400

Write the following quadratic function in standard form. y = 3(x-1)² + 5

y = 3x² - 6x +8

500

Write the following quadratic function in standard form. y = 4/3(x-2)² - 5

y = 4/3x² - 16/3x + 1/3

Factoring

100

Factor the following equations. y = x² + x -12

(x-3)(x+4)

200

Factor the following equations. y = x² - 12x +35

(x-7)(x-5)

300

Factor the following equations. y = x² + 6x + 9

(x+3)(x+3)

400

Factor the following equations. y = x² + 2x - 24

(x-4)(x+6)

500

Factor the following equations. y = x² + 21x + 98

(x+7)(x+14)