Logarithmic Graphs

Which function best describes the following graph?

• y = Log₂ X

• 2^x = y

• y = 1/(2x)

• (1/2)^x = y

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

• x = -3

• x=5

• y= -3

• y=5

Match the graph with its equation.

(If you move your mouse over the graph, the image will pop up larger.)

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

• x=1

• x=-1

• y=1

• y=-1

Which graph matches the function

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

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What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)