Graph Transformations and Dilation Effects

The video tutorial introduces the concepts of translation and dilation in graph transformations. It explains how translation involves moving a graph without changing its size, while dilation changes the scale of the graph, making it larger or smaller. The tutorial uses Desmos to demonstrate these transformations, focusing on horizontal and vertical dilation. It highlights how specific points on the graph, such as intercepts, remain unchanged during dilation, while others stretch or compress. The video encourages viewers to explore these transformations using different functions in Desmos.

What are the two types of transformations introduced in the video?

• Reflection and Rotation

• Dilation and Reflection

• Translation and Dilation

• Translation and Rotation

How does dilation affect the size of a graph?

• It keeps the size the same.

• It changes the size, making it larger or smaller.

• It rotates the graph.

• It reflects the graph.

What tool is used to explore graph transformations in the video?

• Mathematica

• Desmos

• GraphCalc

• GeoGebra

What happens to the graph when the value of 'a' is changed from 1 to 2?

• The graph reflects.

• The graph rotates.

• The graph shrinks.

• The graph stretches horizontally.

Which point on the graph remains unchanged during horizontal dilation?

• Origin

• Vertex

• Y-intercept

• X-intercept

What happens to the x-intercept when the graph is stretched horizontally?

• It remains the same.

• It moves to the left.

• It moves to the right.

• It disappears.

What is the effect of vertical dilation on the graph?

• It rotates the graph.

• It stretches the graph vertically.

• It compresses the graph vertically.

• It stretches the graph horizontally.

How does attaching 'a' to the y-value affect the graph?

• It causes a vertical change.

• It causes a rotational change.

• It causes a horizontal change.

• It causes no change.