Factoring
More Factoring
Even More Factoring
Characteristics of a Parabola
Standard Form to Vertex Form
100

Factor x^2-3x-28

(x-7)(x+4)

100

Factor x^2 -17x + 70

(x-10)(x-7)

100

Factor x^2 + 13x + 42

(x+7)(x+7)

100

I have the parabola 8(x-3)(x-5):

What are the x-intercepts?

What is the y-intercept?

x-intercepts: (3,0), (5,0)

y-intercept: (0,120)

100

What are the x-intercept(s) and y-intercept of x^2 + 13x + 12?

x-intercepts: (-12,0), (-1,0)

y-intercept: (0,12)

200

Factor x^2-10x+25

(x-5)(x-5) or (x-5)^2

200

Factor x^2 -6x -72

(x-12)(x+6)

200

Factor x^2 - 121

(x+11)(x-11)

200

I have the parabola 8(x-3)(x-5):

What is the vertex?

By what factor does the parabola stretch (or shrink) from its parent function?

Vertex: (4,-8)

Stretch: 8

200

What is the vertex of x^2 + 13 x + 12?

(-6.5, -30.25)

300

Factor x^2 - 14x - 51

(x-17)(x+3)

300

Factor x^2 +5x -36

(x+9)(x-4)

300

Factor x^2 + 14x + 24

(x+2)(x+12)

300

I have the parabola 3(x-2)(x+4)

What are the x-intercepts?

What is the y intercept? 

x-intercepts: (2,0),(-4,0)


y-intercept: (0,-24)

300

What are the x-intercepts and y intercept of x^2 + 16x + 48?

x-intercepts: (-4,0),(-12,0)

y-intercept: (0,48)

400

Factor x^2 - 225

(x+15)(x-15)

400

Factor x^2 + 20x + 64

(x+4)(x+16)

400

Factor x^2 -4x -32

(x-8)(x+4)

400

I have the parabola 3(x-2)(x+4)


What is the vertex?

What is the stretch(or shrink) factor?

Vertex: (-1,-27)

Stretch Factor: 3

400

What is the vertex of x^2 + 16x +48

Vertex: (-8,-16)

500

Factor x^2 + 13x + 40

(x+8)(x+5)

500

Factor x^2 -22x + 120

(x-10)(x-12)

500

Factor x^2 - 9x -36

(x-12)(x+3)

500

I have the parabola 2(x-1)(x+5)

What are the x-intercepts?

What is the vertex?


x-intercepts: (1,0), (-5,0)


Vertex: (-2,-18)

500

What is the vertex of x^2+10x+9

Vertex: (-5,-16)