Transformations

TRANSFORMATION GAME

Graphing Exponential Growth/Decay

www.youtube.com/watch?v=C5jnasB2x5Y‎

Graphing Exponential Growth/Decay

1. Create the Parent Graph.

2. Identify A,H,K.

3. Create your new T-Chart.

Domain: All real #'s.

Range: y>k; when a is positive. y<k; when a is negative.

Asymptote: y=k.

4. Draw Asymptote.

5. Graph new points.

Exponential Formula:  y=a×b^x-h+k

a = multiplier.

a>1 = stretch

0<a<1 = compression

a< 0(negative) = flipped over x-axis.

b = base

b>1 = whole #, growth, always increasing.

0<b<1 = fraction; decay, always decreasing.

B is never negative only the multiplier is.

h = lf/rt; opposite

k = up/dn

Linear Programming

                               

Vertices:	(0,0)		(0,6)		(6,0)
Constraints	Objective Function: C=4x + 6y
x > 0 y > 0 x + y < 6

                                

Vertices:	(-5,4)		(0,6)		(5,0)
Constraints	Objective Function: C= 8x + 7y
x < 5 y > 4 -2x + 5y < 30

Vertices:	(0,2)		(1,0)		(5,2)
Constraints	Objective Function: C= 7x + 3y
x > 1 y > 2 6x + 4y < 38

<<<Image Goes Here>>>
Vertices:	(0,4)		(-6,0)		(0,0)
Constraints	Objective Function: C= 4r + 6y
x>0 y<8 -2r+3y>12

      

Vertices:	(0,5)		(2,3)		(8,0)		(0,0)
Constraints	Objective Function: C=8x+7y
x>0 y>0 4x+4y<20 x+2y<8

                               

Vertices:	(0,2)		(3,0)		(0,-9)
Constraints	Objective Function: C=3x+5y
x>0 2x+3y>6 3x-y<9 x+4y<16

Statistics Test

Statistics Test