Graphing a Trigonometric Graph Sine with a Reflection

The video tutorial covers the process of finding the amplitude and reflection of a sine function, calculating the period using the formula 2π/B, and graphing the function with specific intervals. It emphasizes understanding the reflection on the X-axis and the importance of correctly identifying the B value. The tutorial also reviews the steps for setting up the graph and extends the graph with additional periods, providing a comprehensive guide to graphing sine functions.

What is the amplitude of a sine function with a coefficient of -1?

• -1

• 1

• 2

• 0

What happens to the graph of a sine function when the amplitude is negative?

• It shifts to the right

• It reflects across the X-axis

• It becomes a straight line

• It shifts upwards

How do you calculate the period of a sine function?

• 2π divided by the coefficient of X

• π multiplied by the coefficient of X

• 2π multiplied by the coefficient of X

• π divided by the coefficient of X

What is the period of a sine function with B equal to 2π/3?

• 1

• 3

• 2π

• 2π/3

How many important points are there in one period of a sine function?

• 4

• 3

• 2

• 5

What is the interval between important points if the period is 3?

• 1/4

• 3/4

• 1/2

• 1

What is the first step in graphing a sine function?

• Identify the intercepts

• Determine the period

• Find the amplitude

• Plot the graph