Logarithm Transformations

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

What is the equation of the asymptote?

• x = -3

• x=5

• y= -3

• y=5

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

Expand:

Which has a vertical asymptote?

• Exponential

• Logarithmic

• Both

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Write the equation of the transformation of the parent function y = loge x that is reflected across the x-axis, shifted 3 units up, and then shifted 1 unit right.

• - ln (x - 1) - 3

• - ln (x + 1) + 3

• ln (-x - 1) + 3

• - ln (x - 1) + 3

Name the function:
y=\ln\ x

• logarithmic parent function

• natural logarithm function

• natural base exponential function

• logarithmic parent function

• natural logarithm function

• natural base exponential function