Graphing Logarithmic Functions Transformations

The video tutorial explains how to graph transformations of logarithmic functions, focusing on vertical stretches. It begins with an introduction to the concept and the parent function of logarithms. The tutorial then demonstrates how to calculate specific points on the parent function graph and apply a vertical stretch by multiplying the y-values by three. Finally, it shows how to plot the transformed graph and analyze its characteristics, including the vertical asymptote and the stretched curve.

What is the main focus of the video tutorial?

• Graphing transformations of linear functions

• Graphing transformations of exponential functions

• Graphing transformations of logarithmic functions with a vertical stretch

• Graphing transformations of quadratic functions

What is the parent function discussed in the video?

• f(x) = log(x) base e

• f(x) = log(x) base 10

• f(x) = log(x) base 2

• f(x) = log(x) base 5

What is the y-value when x is 1 for the parent function?

• -1

• 1

• 2

• 0

What is the y-value when x is 2 for the parent function?

• 2

• 1

• 0

• -1

What is the x-value when the y-value is 2 for the parent function?

• 8

• 4

• 2

• 1

What is the x-value when the y-value is -1 for the parent function?

• 2

• 1

• 4

• 1/2

What does the vertical stretch factor of 3 do to the graph?

• Compresses the graph vertically

• Compresses the graph horizontally

• Stretches the graph horizontally

• Stretches the graph vertically

What is the new y-value when the original y-value is 0 after applying the vertical stretch?

• 0

• 1

• 3

• 6

What is the new y-value when the original y-value is 1 after applying the vertical stretch?

• 0

• 1

• 3

• 6

What is the new y-value when the original y-value is 2 after applying the vertical stretch?

• 6

• 1

• 0

• 3