Transformations and Logarithm Graphs

What is a horizontal translation?

• A transformation that moves a graph up or down

• A transformation that stretches or compresses a graph horizontally

• A transformation that moves a graph left or right

• A transformation that stretches or compresses a graph vertically

Which graph matches the equation

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Which equation matches the graph

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Choose the equation of the graph shown.

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Choose the equation of the graph shown.

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Describe the transformations of f(x)= -log₂(x+1)

• left one & y-axis reflection

• right one & y-axis reflection

• left one & x-axis reflection

• right one & x-axis reflection

Which of the following transformations would take f(x)= lnx to g(x)= −ln(x+5)

• reflection over the x-axis

• reflection over the y-axis

• translate right 5

• translate up 5

• translate left 5

Describe the transformation of y=ln(x) that would give the graph for y = ln(x+7)

• vertical translation 7 up

• vertical translation 7 down
  vertical stretch by a factor of 7

• horizontal translation 7 left

• horizontal translation 7 right

Describe the transformation of y=ln(x) that would give the graph for y = 7ln(x)

• vertical translation 7 up

• vertical stretch by a factor of 7

• vertical compression by a factor of 7

• horizontal translation 7 left

Logarithmic functions are the inverse of _________________

• exponential functions

• linear functions

• quadratic functions

• cubic functions