Transformations of Graphs: Expansions and Compressions

This tutorial explores horizontal transformations, focusing on expansions and compressions. It provides examples of how to expand and compress graphs horizontally, including analyzing specific points to understand these transformations. The video also covers combining horizontal expansion with reflection, offering practical examples to illustrate these concepts.

What happens to the x-values of points on a graph during a horizontal expansion?

• They are divided by the expansion factor.

• They remain unchanged.

• They are multiplied by the expansion factor.

• They are subtracted by the expansion factor.

In a horizontal expansion by a factor of 2, what happens to the point (1, 1)?

• (1, 0.5)

• (2, 1)

• (1, 2)

• (0.5, 1)

During a horizontal compression by a factor of 2, how is the x-value of a point affected?

• It is multiplied by 2.

• It is multiplied by 0.5.

• It remains the same.

• It is divided by 2.

What is the new position of the point (1, 1) after a horizontal compression by a factor of 2?

• (2, 1)

• (1, 2)

• (0.5, 1)

• (1, 0.5)

In Example 1, what was the compression factor determined for the graph?

• 1.5

• 0.5

• 3

• 2

How does a horizontal compression affect the y-intercepts of a graph?

• They remain unchanged.

• They are multiplied by the compression factor.

• They are subtracted by the compression factor.

• They are divided by the compression factor.

In Example 2, what does a negative sign in front of the x indicate?

• Horizontal reflection

• Vertical reflection

• Vertical expansion

• Horizontal expansion

What is the effect of a horizontal expansion by a factor of negative 2 on the x-values?

• They remain unchanged.

• They are divided by 2.

• They are multiplied by -2.

• They are multiplied by 2.

In Example 2, what happens to the point (1, -1) after the transformation?

• (1, 2)

• (-1, 2)

• (2, -1)

• (-2, -1)

What remains unchanged during both horizontal expansions and compressions?

• X-intercepts

• Y-intercepts

• None of the above

• Both x and y values