Master Graphing Sine given a change in Period

The video tutorial explains how to graph sine functions with transformations, focusing on amplitude, period, and phase shift. It covers the calculation of amplitude and period, the concept of X scale, and demonstrates graphing with transformations. The tutorial also addresses graphing sine functions with negative amplitude, highlighting the impact of reflections on the graph.

What is the amplitude of the function y = 3 sin(1/2 X)?

• 2

• 4

• 1

• 3

How do you calculate the period of a sine function?

• 2π divided by the coefficient of X

• 2π multiplied by the coefficient of X

• π divided by the coefficient of X

• π multiplied by the coefficient of X

What is the X scale for a sine function with a period of 4π?

• 4π

• 2π

• π

• π/2

How does a negative amplitude affect the graph of a sine function?

• It reflects the graph across the X-axis

• It increases the amplitude

• It changes the period

• It changes the X scale

What is the period of the function y = -3 sin(2π X)?

• 2π

• 1

• 4π

• 2

If the period of a sine function is 1, what is the X scale?

• 1/3

• 1/4

• 1

• 1/2

What happens to the graph of a sine function when the period is reduced to 1?

• It becomes elongated

• It becomes more condensed

• It remains unchanged

• It shifts vertically