What are the important characteristics of the sine and cosine graph

The video tutorial covers transformations in Algebra 2, focusing on sine and cosine functions. It explains how to apply transformations such as shifting, reflecting, and translating graphs. The tutorial also discusses key concepts like amplitude, period, phase shift, and vertical translation, providing formulas and examples to help students understand these transformations.

What is the primary focus when sketching the parent graph of sine and cosine?

• Applying transformations to the parent graph

• Calculating the period of the graph

• Determining the amplitude of the graph

• Identifying the maximum and minimum points

In the transformation formula for sine and cosine, what does the parameter 'a' affect?

• Horizontal shift

• Vertical translation

• Reflection over the X-axis

• Period of the graph

How does the parameter 'b' in the transformation formula affect the graph?

• It determines the phase shift

• It changes the amplitude

• It reflects the graph over the Y-axis

• It shifts the graph vertically

What is the significance of the parameter 'c' in the transformation formula?

• It changes the period

• It indicates the horizontal shift

• It affects the amplitude

• It determines the vertical translation

What is the amplitude of a trigonometric function?

• The half distance between the highest and lowest points

• The distance between two consecutive maximum points

• The distance between two consecutive minimum points

• The total distance between the highest and lowest points

How is the period of a trigonometric function calculated?

• By using the formula 2π / b

• By using the formula b / 2π

• By multiplying the amplitude by 2

• By dividing the amplitude by 2

What does the X scale represent in the context of graphing trigonometric functions?

• The distance between consecutive X-intercepts

• The distance between the maximum and minimum points

• The amplitude divided by 4

• The period divided by 4

How do you determine the X scale for a trigonometric graph?

• By dividing the amplitude by 4

• By dividing the period by 4

• By multiplying the period by 4

• By multiplying the amplitude by 4

What is the correct method to find the phase shift of a trigonometric function?

• Set the period equal to zero

• Set the entire function equal to zero

• Set the inside of the function equal to zero

• Set the amplitude equal to zero

What does the parameter 'd' represent in the transformation formula?

• Period

• Horizontal shift

• Vertical translation

• Amplitude