Transformations

Tranformations game

Linear Programming

Vertices:	0,6		0,0		6,0
Constraints	Objective Function:
x ≥ 0 y ≥ 0 x + y ≤ 6	c=3x+4y c=3(0)+4(6) c=24	c=3(0)+4(0) c=0		c=3(6)+4(0) c=18

Vertices:	-5,4		5,8		5,4
Constraints	Objective Function:
x ≤ 5 y ≥ 4 -2x + 5y ≤ 30	c=2x+5y c=2(-5)+5(4) c=10	c=2(5)+5(8) c=45		c=2(5)+5(4) c=30

Vertices:	1,8		1,2		5,2
Constraints	Objective Function:
x ≥ 1 y ≥ 2 6x + 4y ≤ 38	c=7x+3y c=7(1)+3(8) c=31	c=7(1)+3(2) c=13		c=7(5)+3(2) c=76

Vertices:	0,4		0,8		5,2
Constraints	Objective Function:
x ≥ 0 y ≤ 8 -2x + 3y ≥ 12	c=4x+6y c=4(0)+6(4) c=24	c=4(0)+6(8) c=48		c=4(5)+6(2) c=32

Vertices:	0,0		0,8		2,3		0,5
Constraints	Objective Function:
x ≥ 0 y ≥ 0 4x + 4y ≤ 20 x + 2y ≤ 8	c=8(0)+7(0) c=0	c=8x+7y c=8(8)+7(0) c=64		c=8x+7y c=8(2)+7(3) c=37		c=8x+7y c=8(0)+7(5) c=35

Vertices:	3,0		4,3		0,4		0,2
Constraints	Objective Function:
x ≥ 0 2x + 3y ≥ 6 3x - y ≤ 9 x + 4y ≤ 16	c=3x+5y c=3(3)+5(0) c=9	c=3x+5y c=3(4)+5(3) c=27		c=3x+5y c=3(0)+5(4) c=20		c=3x+5y c=3(0)+5(2) c=10

Quizes

General forms of a sequence

Arithmetic and geometric sequences

Arithmetic formula: an=a1(n+1)d

Geometric formula: an=a1*r(n-1)

A sequence is a list of numbers

Geometric example:
2,4,8,16,32,64
They all are divided by 2

Arithmetic example:
2,4,6,8,10,12,14
They are all +2

graphing exponents

Graphing exponential growth and decay

• domain are always going to be all real numbers in growth or decay
• asymptote = k
• range is either y is greater than k or less than k 
• to graph, make the t chart table and then graph the points