Features of Logarithms Graph

Which graph matches the function

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

• 
• 
• 
• 

Which graph matches the logarithmic equation

• 
• 
• 
• 

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

Graph

• A

• B

• C

• D

Which graph matches the equation

• 
• 
• 
• 

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4