Transformation of Exponential and Logarithmic Functions

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

• 
• 
• 
• 

Which graph matches the logarithmic equation

• 
• 
• 
• 

Logarithmic functions are the inverse of _________________

• exponential functions

• linear functions

• quadratic functions

• cubic functions

Using y=3^x as the parent function, what will y=3^-x look like?

• Reflection on the x axis

• Reflection on the line y=x

• Reflection on the y axis

• Reflection on y=0

Write the equation of a natural logarithmic function that has been shifted two units to the left, one unit up, and vertically stretched by a factor of three. (Begin your answer with "y=." Use parentheses where necessary.)

Mathematical Equivalence

ON

Write the equation of a natural logarithmic function that has been shifted two units to the left, one unit up, and vertically stretched by a factor of three. (Begin your answer with "y=." Use parentheses where necessary.)

Mathematical Equivalence

ON

Describe the transformation on

• The graph has been shifted 3 units up

• The graph has been shifted 3 units to the right

• The graph has been shifted 2 units right

• The graph has been shifted 3 units left

How has the graph transformed?

Red is parent graph

Blue is transformation

• left 1 up 6

• left 2 up 4

• left 2 up 6

• up 6

Which equation matches the graph

• 
• 
• 
•