Understanding Graph Transformations

The video tutorial covers graph transformations, focusing on vertical and horizontal stretches and squashes. It explains how to apply these transformations to graph equations and provides examples for better understanding. The tutorial concludes with practice questions and encourages viewers to engage with the content.

What are the four types of transformations mentioned in the video?

• Shifting, Reflecting, Rotating, Translating

• Shifting, Reflecting, Stretching, Squashing

• Rotating, Translating, Stretching, Squashing

• Reflecting, Rotating, Translating, Stretching

How does a vertical stretch affect the y-coordinates of a graph?

• It adds a constant to the y-coordinates.

• It halves the y-coordinates.

• It doubles the y-coordinates.

• It subtracts a constant from the y-coordinates.

If a graph is transformed by y = 3x^2, what happens to the y-coordinates?

• They are squared.

• They are multiplied by 3.

• They remain unchanged.

• They are divided by 3.

What is the effect of applying y = 1/2x^2 to a graph?

• The y-coordinates are doubled.

• The x-coordinates are halved.

• The y-coordinates are halved.

• The x-coordinates are doubled.

How do you transform a graph using y = 1/3f(x)?

• Multiply each x-coordinate by 3.

• Divide each y-coordinate by 3.

• Divide each x-coordinate by 3.

• Multiply each y-coordinate by 3.

What happens to a graph when a horizontal transformation is applied directly to the x's?

• The graph is shifted vertically.

• The graph is rotated.

• The graph is reflected over the x-axis.

• The graph is stretched or squashed horizontally.

In horizontal transformations, what does a number greater than 1 do to the graph?

• Shifts the graph vertically.

• Squashes the graph horizontally.

• Reflects the graph over the y-axis.

• Stretches the graph horizontally.

What is the effect of a number smaller than 1 in a horizontal transformation?

• It shifts the graph horizontally.

• It reflects the graph over the x-axis.

• It squashes the graph horizontally.

• It stretches the graph horizontally.

What combination of transformations could be used in the brain teaser?

• Only translations and reflections.

• Only stretches and squashes.

• Any combination of translations, reflections, stretches, and squashes.

• Only translations and stretches.

What should you do if you have questions after watching the video?

• Rewatch the video.

• Comment below the video.

• Search online for answers.

• Ignore the questions.