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# Graphing Exponential Functions

 Exponential Functions Sketching Basic exponential functions y = Ax Vertical and horizontal translations of the exponential functions y = ABx+C + D Remember to define the Domain if you write the equation for part of a Exponential graph. Exponential Graphs with slider bar transformations (allow macros) Ex12.01, Ex12.02, Ex12.03 p51, More Exponential Practice sketching stretched and translated exponential functions Find the equation when given a graph Applications of and exponential applications Ex12.04, Ex12.05 p52, Even More Exponential Practice sketching translated exponential functions and exponential applications Ex12.05

Exponential rule

x y
3 8
2 4
1 2
0 1
-1 1/2
-2 1/4
-3 1/8

# Exponential family

The number changing is the BASE

x is the exponent (power)

# Inverted & reflected exponential

A negative multiplier inverts the graph

A negative x reflects in the y axis

# Vertical shift

Adding a constant vertically translates the exponential graph

# Horizontal shift

Adding a constant to x horizontally translates the parabola graph

# Combined shifts

Horizontal and vertical shifts can be combined

Explanation

Explanation

Explanation