# Graphing Log Functions

 Logarithmic Functions Basic Log graphs with different bases, such as y = Log2(x) How the base changes the graph shape Relating the Log graph to the exponential graph Remember to define the Domain if you write the equation for a Log graph. Log graphs   Ex12.07 Log Graphs p54, GeoGebra Java Log Translation More Log Graphs Vertical and horizontal translation of log graphs Log and exponential applications Log graphs Class notes, Blank notes | Daves Notes  Log Graphs

# Basic log graph

The log graph is a reflection of an exponential graph in the line y = x  #### Mouse-over the equations and key words x y
3
2
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0
-1
-2 # Different bases

A different base changes the shape of the graph

#### Mouse-over the equations and key words to see the graph

y = log2x  Features Features Features

# Inverted log graph

A negative multiplier inverts the graph about the x axis

#### Mouse-over the equations and key words to see the graph

y = log2x  Features

# Vertical shift

Adding a constant vertically translates the log graph

#### Mouse-over the equations and key words to see the graph

y = log2x  Features Features Features

# Horizontal shift

Adding a constant to x horizontally translates the log graph

#### Mouse-over the equations and key words to see the graph

y = log2x  Features Features Features

# Combined shifts

Horizontal and vertical shifts can be combined

#### Mouse-over the equations and key words to see the graph

y = log2x  Features Features Features