Tuesday, February 25, 2014

Graphing Expo Growth - Decay


Graphing Exponential Growth/Decay.



Step 1. Create the Parent Graph
Step 2. Find (Identify) A, H, K
Step 3. Create your new T-Chart

Domain - All real #'s
Range - y>k when a is positive, while y<k when a is negative
Asymptote - y = k

Step 4. Draw Asymptote
Step 5. Graph new points

Exponential Formula: y=axbx-h +k

a= multiplier
a>1 = stretch
0<a<1 = compression
a<0(negative) = flipped over x-axis

b = base

b>1 = while #'s growth, always increasing\
0<b<1 = fraction ; decay , always decreasing
B is never negative only the multiplier is




h = lf/rt: opposite
k = up/dw

Tuesday, February 18, 2014

Compound Interest Formula

A=P(1+ r/n)nt:

A: Amount
P: Principal
r: rate of interest
n: number of times per year, hour, day , etc. Interest is compounded
t: time in years