Graphing Exponential and Logarithmic Functions with Transformations

Match the graph with its equation

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Logarithms are the inverse of ___________.

• Cubics

• Quadratics

• Square Roots

• Exponentials

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 = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1

What is the x-intercept of log₇(x)?

• (0.5, 0)

• (-1, 0)

• (0, 0)

• (1, 0)

Which graph matches the equation?

• 
• 
• 
• 

What kind of shift  is represented?

• up 1 unit

• left 1 unit

• right 1 unit 

• down 1 unit

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