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, affecting y-coordinates for vertical changes and x-coordinates for horizontal changes. The tutorial includes examples and practice questions to reinforce understanding, concluding with a brain teaser to test comprehension.

What happens to the y-coordinates of a graph when the equation is y = 2x²?

• They are halved.

• They remain the same.

• They are doubled.

• They are tripled.

If a graph is transformed by y = 1/3 f(x), what happens to the y-coordinates?

• They are tripled.

• They are divided by 3.

• They remain unchanged.

• They are multiplied by 3.

How does a coefficient greater than 1 affect a graph's horizontal shape?

• It stretches the graph horizontally.

• It squashes the graph horizontally.

• It reflects the graph.

• It translates the graph.

What effect does a coefficient less than 1 have on a graph's horizontal shape?

• It translates the graph.

• It reflects the graph.

• It squashes the graph horizontally.

• It stretches the graph horizontally.

Which of the following is a possible combination of transformations?

• Any combination of translation, reflection, stretch, and squash

• Reflection and translation only

• Stretch and squash only

• Translation and reflection only