Graphing a Sine Function with a Different Period

The video tutorial covers the process of graphing a sine function, focusing on understanding amplitude and period. It explains how to calculate the period using the formula 2π/B, where B is the coefficient of X. The tutorial also highlights the importance of identifying key points on the graph, such as maximum, minimum, and intercepts, and demonstrates how to extend the graph for additional cycles. Common errors and questions are addressed to ensure clarity.

What is the amplitude of a sine function if there is no coefficient in front of the sine term?

• 1

• 0

• 2

• π

How do you calculate the period of a sine function with a coefficient of π/4 in front of X?

• 2π

• π/2

• 4π

• 8

What is the interval between important points on a sine graph with a period of 8?

• 8

• 4

• 1

• 2

Which point on the sine graph is reached after the maximum?

• Intercept

• Third Maximum

• Minimum

• Second Maximum

How many important points are there in one cycle of a sine graph?

• 5

• 4

• 3

• 2