Sine Function Graphing Concepts

The video tutorial explains how to graph and describe transformations of a sine function. It covers identifying parameters C, a, B, and D, and their roles in vertical and horizontal shifts, amplitude, and period. The tutorial demonstrates graphing one period of the sine function, highlighting the midline, maximum, and minimum points, and explains the pattern of the sine wave.

What is the value of D if the sine function is expressed as X minus 1/4 PI?

• Negative 5

• Zero

• Positive 1/4 PI

• Negative 1/4 PI

If C is negative 5, what is the vertical translation of the sine function?

• Down 5 units

• Up 5 units

• Left 5 units

• No shift

How is the amplitude of a sine function determined?

• By the value of C

• By the absolute value of A

• By the value of B

• By the value of D

What is the period of a sine function if B equals 2?

• 2 PI

• PI

• 4 PI

• PI/2

What does a positive D value indicate in terms of phase shift?

• Shift left

• Vertical shift

• Shift right

• No shift

What is the maximum function value if the midline is y = -5 and the amplitude is 4?

• -1

• 0

• 5

• -9

What is the pattern followed when graphing one period of a basic sine function?

• Maximum, midline, minimum

• Midline, maximum, midline, minimum, midline

• Minimum, midline, maximum

• Midline, minimum, midline, maximum, midline

What is the first point plotted on the transformed sine function graph?

• 1/4 PI, -5

• PI, 0

• 0, 0

• 5/4 PI, -9

What is the classification of the point PI/2, -1 on the sine function graph?

• Minimum

• Phase shift

• Midline

• Maximum

How often should vertical lines be sketched to help graph the sine function?

• Every PI radians

• Every 1/2 PI radians

• Every 2 PI radians

• Every 1/4 PI radians