Exploring Transformations of Linear Functions

What is the main topic of Mr. Allen's video?

• Exponential Functions

• Quadratic Functions

• Transformations of Linear Functions

• Polynomial Functions

What does the minus 3 outside of the f(x) function do?

• Compresses the graph horizontally by 3

• Stretches the graph vertically by 3

• Shifts the graph down by 3 units

• Shifts the graph up by 3 units

How does the new function compare to the original f(x) after shifting down by 3 units?

• It intersects the original

• It is a horizontal reflection of the original

• It runs parallel to the original

• It has a different slope

What is the new function in slope-intercept form after shifting down by 3 units?

• G(x) = -2x + 3

• G(x) = -2x - 3

• G(x) = -2x - 1

• G(x) = -2x + 1

What are the two transformations applied to the function f(x) = x in the second example?

• Horizontal stretch by 2 and shift up by 1

• Vertical stretch by 2 and shift up by 1

• Vertical stretch by 2 and shift down by 1

• Horizontal stretch by 2 and shift down by 1

What is the correct way to describe the shift down by 1 unit?

• Down one

• Up one

• Down negative one

• Up negative one

What is the new function in slope-intercept form after a vertical stretch by 2 and a shift down by 1 unit?

• G(x) = 2x + 1

• G(x) = 2x - 1

• G(x) = x - 1

• G(x) = x + 1

What is the first step in graphing the function after a vertical stretch by 2?

• Shift the graph up by 1 unit

• Stretch the graph vertically by 2

• Stretch the graph horizontally by 2

• Shift the graph down by 1 unit

What is Mr. Allen's preferred method for dealing with transformations involving stretches?

• Only write the equation

• Only graph the function

• Write the equation first and then graph the function

• Graph the function first and then write the equation

What is the final step Mr. Allen takes in his video?

• Graphing the function

• Listing the transformations

• Writing the equation

• Summarizing the video