Graphing Exponential and Logarithmic Functions with Transformations

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers

• D: all real numbers
  R: y ≥ 0

• D: x ≥ 2
  R: y ≥ 3

• D: x ≤ 2
  R: y ≤ 3

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Determine the transformation that occurred:

• Horizontal shift, 4 units left

• Horizontal shift, 4 units right

• Vertical shift, 4 units up

• Vertical shift, 4 units down

How did the graph transform from the parent function?

y=2^(x-2)

• Up 2

• Down 2

• Left 2

• Right 2

Using the parent function f(x) = -2(1.5)^x, which function describes a transformation of f(x) moving down 2 units?

• f(x) = -2(1.5)^x + 2

• f(x) = -2(1.5)^x - 2

• f(x) = -2*2(1.5)^x

• f(x) = 1.5(-4)^x

Which function represents a horizontal dilation of the function above?

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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

Compared to its parent function what transformation would be caused by this functions a-value?

• Vertical Compression

  and Reflection over x-axis

• Vertical Stretch

  and Reflection over x-axis

• Vertical Shift

  and Reflection over x-axis

• No Stretch and Reflection over x-axis.

Which log function includes the following transformations:
Horizontal stretch by a factor of 3, Horizontal shift right 6 units, Vertical shrink by a factor of 2, vertical shift up 9