Exploring Vertical Transformations of Graphs

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 video concludes with practice questions and encourages viewers to engage with the content.

What happens to a graph when it undergoes a vertical stretch?

• The x-coordinates are divided by a factor.

• The y-coordinates are multiplied by a factor greater than 1.

• The graph remains unchanged.

• The x-coordinates are multiplied by a factor greater than 1.

If a graph's equation changes from y = f(x) to y = 2f(x), what transformation does it undergo?

• Horizontal stretch

• Vertical squash

• Vertical stretch

• Reflection over the x-axis

When transforming a graph vertically by a factor of 1/3, what happens to the y-coordinates?

• They are multiplied by 3.

• They are divided by 3.

• They remain unchanged.

• They are multiplied by 1/3.

What does a transformation factor greater than 1 do to a graph vertically?

• Squashes it vertically

• Stretches it vertically

• Moves it to the right

• Moves it to the left

How does a horizontal stretch affect the graph if the transformation factor is less than 1?

• It compresses the graph horizontally.

• It does not affect the graph.

• It stretches the graph horizontally.

• It moves the graph upwards.

What is the effect of applying a horizontal transformation factor of 2 to the graph?

• Horizontal stretch

• Vertical stretch

• Horizontal squash

• Vertical squash

What is the result of a horizontal transformation with a factor of 1/2 on a graph?

• The graph is squashed vertically.

• The graph is stretched horizontally.

• The graph is squashed horizontally.

• The graph is stretched vertically.

If a graph is transformed from y = f(x) to y = f(2x), what type of transformation does it undergo?

• Vertical squash

• Horizontal stretch

• Vertical stretch

• Horizontal squash

What transformation does the graph undergo if the equation changes from y = f(x) to y = f(x/2)?

• Vertical squash

• Horizontal squash

• Vertical stretch

• Horizontal stretch

In a brain teaser involving transformations, if you correctly identify the transformations, what does it indicate?

• You guessed the answer correctly.

• You have an advanced understanding of graph transformations.

• You have a basic understanding of graph transformations.

• You need more practice with graph transformations.

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