Scribe Post for Thursday 2-21-08

What we did in class
Class Work:
1. Take notes
2. PG- 56, 58, 58, 60 (general equations), 61 (turn in on graph paper)
Home Work:
PG 69, 72

Notes:
The simplest version of a whole family of equations is called it's parent graph.
y=x
y=x^2 parabola - shift left/right, shift up/down, shrink/ stretch y=a(x-h)^2+k-Vertex(h,k)
y=x^3 cubic functions - Formula: y=a(x-h)^3+k, Ex: y=(x-6)^3-6, if you know the inflection point then you can get a rough sketch of the graph.
y=1/x hyperbolas: 1/x+h shift up, Formula: y=a(1/x+h)+k, Ex: y=3(1/x+1)+1,
Asymptote: x=0, y=4
If x could be 0 the y=4 but since x cannot be 0 then y cannot be 4
y=1/4(1/x+3)+5: asymptotes- x=-3, y=5
y=2^x exponential functions
y=x^4 similar to x^2
y=x^5
y=1/x^2
y=1/x^3
next scribe: Chris L

Factoring EMcAninch

Factoring Equations
FX-14
A)
x^2-49
x^2-49=(x)^2-(7)^2
x^2-(7)^2=(x+7)(x-7)
so
x^2-49=(x+7)(x-7)
B)
4x^2-1
4x^2-1=(2x)^2-(1)^2
(2x)^2-(1)^2=(2x+1)(2x-1)
so
4x^2-1 = (2x+1)(2x-1)
C)
x^2y^2-81z^2
x^2y^2-81z^2=(xy)^2-(9z)^2
(xy)^2-(9z)^2=(xy+9z)(xy-9z)
so
x^2y^2-81z^2=(xy-9z)(xy-9z)
D)
2x^3-8x
2x(x^2-4)
2x(x^2-4)=2x((x)^2-(2)^2)
2x((x)^2-(2)^2)=2x(x+2)(x-2)
so
2x^3-8x=2x(x+2)(x-2)