Sine Graph Transformations and Properties

The video tutorial explores modifications of sine graphs, focusing on amplitude, frequency, and period changes. It demonstrates using a calculator to understand sine values and transformations, emphasizing vertical and horizontal adjustments. The tutorial aims to clarify how these changes affect the graph's appearance and behavior.

What happens to the sine graph when the number 2 is placed in front of the sine function?

• The graph shifts vertically.

• The graph shifts horizontally.

• The graph's amplitude doubles.

• The graph's frequency doubles.

When the number 2 is placed outside the sine function, what is the expected outcome for sine(0)?

• The result is 1.

• The result is 0.

• The result is -1.

• The result is 2.

What is the result of sine(90) when multiplied by 2?

• 0

• 1

• -2

• 2

How does the graph change when the amplitude is modified?

• It shifts horizontally.

• It stretches or compresses vertically.

• It becomes a straight line.

• It rotates around the origin.

What is the effect of doubling the amplitude on the sine graph?

• The graph becomes twice as wide.

• The graph becomes twice as tall.

• The graph shifts to the right.

• The graph shifts to the left.

What does the term 'amplitude' refer to in the context of sine and cosine graphs?

• The distance between peaks

• The horizontal shift

• The vertical shift

• The maximum height from the center line

What is the term used to describe the vertical stretching or compressing of a graph?

• Period

• Amplitude

• Frequency

• Phase Shift

What does changing the frequency of a sine graph affect?

• The vertical stretch

• The horizontal stretch

• The vertical shift

• The graph's color

What happens to the sine graph when the frequency is increased?

• The graph stretches horizontally.

• The graph becomes taller.

• The graph compresses horizontally.

• The graph becomes shorter.

How does a vertical adjustment affect the sine graph?

• It changes the X values.

• It changes the Y values.

• It does not affect the graph.

• It changes both X and Y values.