Overview of functions stretching and shrinking - Online Tutor - Free Math Videos

The video tutorial provides an overview of rigid and nonrigid transformations. Rigid transformations, such as translations and reflections, do not alter the shape or size of objects. Nonrigid transformations involve shrinking and stretching, affecting the shape. The tutorial explains how these transformations impact functions, focusing on vertical and horizontal changes. It highlights the effects of multiplying functions by constants and how these affect the coordinate system. The video concludes with a summary of the key differences between rigid and nonrigid transformations.

Which of the following is an example of a rigid transformation?

• Compressing a spring

• Stretching a rubber band

• Rotating a square

• Scaling a triangle

What is a characteristic of nonrigid transformations?

• They are always reversible

• They preserve the size of the object

• They can change the shape of the object

• They involve only translations

What happens to a function when it is multiplied by a constant greater than one?

• It undergoes a vertical shrink

• It undergoes a vertical stretch

• It undergoes a horizontal stretch

• It undergoes a horizontal shrink

If a function is multiplied by a constant between 0 and 1, what transformation occurs?

• Horizontal stretch

• Vertical shrink

• Horizontal shrink

• Vertical stretch

What is the effect of modifying the X value within a function with a constant greater than one?

• Horizontal stretch

• Vertical shrink

• Horizontal shrink

• Vertical stretch

When a constant between 0 and 1 is applied to the X value within a function, what transformation occurs?

• Horizontal stretch

• Horizontal shrink

• Vertical stretch

• Vertical shrink

Which transformation is often misunderstood as moving a graph to the right when it actually moves it to the left?

• Vertical shrink

• Horizontal translation

• Horizontal reflection

• Vertical stretch