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Exponential y = a(b)^x - Coggle Diagram
Exponential y = a(b)^x
Module 5: Equations
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Basic of the Radicand, Index and Radical 
Module 6: Functions
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Transformations
a = 1
y = a(b^x) + or - c
Graph shifts up for adding C
Graphs shifts down for subtracting C
Coordinates (x, y) the value of y is increased or decreased by C
No change in steepness or rate of growth decay
Y Intercept moves from (0,1) to ( 0, 1 +/- c)
New Asymptotes is y = c
Changing a (leading coefficient) making it > 1
Graph increases steepness
Coordinates (x,y) the values of y increase (x, ay)
Asymptote is not effected
Y intercept shifts up by a scale factor (0, a)
Change the exponent by subtracting a positive number from x, the graph shifts in a positive direction horizontally by the value of the term being subtracted
y = a(b^(x-h)
Coordinates change from (x,y) to (x + h), y)
Y intercept shifts down changes
Asymptote does not change
Change the exponent x by subtracting a negative number
Graph shifts in a negative direction
y = a(b^(x - (-h)
Coordinates change from (x,y) to ( x-h, y)
y intercepts shifts up
Asypmtote does not change
Changing from an increasing growth model to a decreasing decay model
y = a(b^x)
The value of b (the growth or decay rate)
Growth Model b > 1
Decay Model 0 < b < 1
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Growth Models
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Increased
being given or recieving (interest)
Interest earning
Appreciate (increases in value)
Raises
population increases
compound interest
bacteria cultures
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