Logarithmic Functions

• The graph passes through the point (1,0).

• The graph is increasing.

• All of the above.

Match the graph with its equation

• y = log₅ (x + 1) + 1 

• y = log₅ (x - 1) + 1 

• y = log₅ (x²) + 1 

• y = log₅ (x)-1

What are the transformations of this graph?

• Right 1 Up 5

• Right 1 Down 5

• Left 1 Up 5

• Left 1 Down 5

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

log₂(x + 3)=5

log 1000 = x

• x = 2

• x = 3

• x = 4

• x = 1

• It passes through the origin.

• It is a straight line.

Describe the graph of f(x) = log₉ x transformed to f(x) = log₉(-x + 1) - 5

• Reflection about the y-axis; shift right 1 and 5 down

• Reflection about the y-axis; shift left 1 and 5 down

• Reflection about the x-axis; shift right 1 and 5 units down

• Reflection about the x-axis; shift left 1 and 5 units down