Graph Transformations and Reflections

The video tutorial explores the effects of reflections on graphs, focusing on both horizontal and vertical reflections. It discusses how these transformations affect the position of axes and intercepts. The tutorial also covers factorization, compression, and shifting of graphs, providing insights into how these changes impact the graph's appearance. The importance of scale and completeness in graphing is also highlighted, ensuring a comprehensive understanding of graph transformations.

What happens to a graph when it is reflected across the y-axis?

• It compresses horizontally.

• It stretches vertically.

• It flips horizontally.

• It moves upwards.

What happens to the graph's points after a reflection across the y-axis?

• They move upwards.

• They reflect horizontally.

• They remain in the same position.

• They move to the left.

How does a vertical reflection affect the graph's orientation?

• The graph flips upside down.

• The graph moves to the right.

• The graph remains unchanged.

• The graph stretches horizontally.

What is the result of a vertical flip on a graph?

• The graph remains unchanged.

• The graph decreases instead of increasing.

• The graph compresses vertically.

• The graph stretches horizontally.

What role does factorization play in graph transformations?

• It changes the graph's shape.

• It reveals stretching and compression.

• It determines the graph's color.

• It helps identify vertical shifts.

How does factorization help in graph transformations?

• It helps in identifying shifts and compressions.

• It alters the graph's size.

• It changes the graph's color.

• It changes the graph's orientation.

How does factorization assist in understanding horizontal shifts?

• It indicates the direction of the shift.

• It changes the graph's orientation.

• It shows the graph's color change.

• It alters the graph's size.

What is the effect of shifting a graph horizontally?

• The graph's intercepts change.

• The graph moves vertically.

• The graph moves left or right.

• The graph's orientation changes.

What is the effect of compression on a graph's intercepts?

• Intercepts move closer to the origin.

• Intercepts disappear.

• Intercepts remain unchanged.

• Intercepts move further apart.

How does compression affect the graph's intercepts?

• They remain unchanged.

• They move further from the origin.

• They disappear.

• They move closer to the origin.