Factoring
Factor 10x+15
5(2x+3)
The form used to find x-intercepts.
Factored Form
What are the 3 types of patterns we looked at?
Linear, Quadratic, and Exponential
Solve for x.
4x=9
x = 9/4 or 2.25
Factor x2+8x+12
(x+6)(x+2)
Which form can you find the most characteristics for?
Standard form
x y Find and describe the pattern (type +
1 5 describe what is happening)
2 8.5
3 12
4 15.5
Linear, increasing by 3.5
Solve for x / x-intercepts.
y=(x+3)(2x+2)
x=-3, x=-1
Factor x2+5x-24
(x+8)(x-3)
Find the characteristics of y=-(x-2)(x+4)
Concave down.
x intercepts at (2,0) and (-4,0).
Find and describe the pattern (type +describe what is happening)
x y
1 2
2 8
3 32
4 128
Exponential, multiplying by 4.
Solve for x / x-intercepts.
y=x2-8x-20
x=10, x=-2
Factor x2-11x+30
(x-5)(x-6)
Find the characteristics of y=2(x+4)2-3
Concave up.
Vertex at (-4,-3)
Axis of Symmetry at x=-4
Find and describe the pattern (type +describe what is happening)
x y
1 5
2 8
3 12
4 17
Quadratic, adding 1 more each time (starting with +3)
y=2x2+8x+16
x=-2 twice
Factor 2x2-18x+16
2(x-8)(x-1)
Find the characteristics of -2x2+4x-10.
Concave down.
axis of symmetry x=1
y intercept at (0,-10)
vertex at (1,-8)
Find and describe the pattern (type +describe what is happening)
x y
1 -3
2 6
3 -12
4 24
Exponential, multiplying by -2.
y=-3x2+x+4
x=-1, x=4/3