Sinusoidal Function Transformations in AP Precalculus

The video tutorial covers sinusoidal function transformations, focusing on amplitude, midline, period, and frequency. It explains how these elements affect the graph of sinusoidal functions. The tutorial includes practice problems to illustrate these concepts, demonstrating how to calculate and graph sinusoidal functions with different parameters, including shifts in the midline and changes in amplitude and period.

What does changing the coefficient in front of Theta in a sinusoidal function affect?

• The frequency

• The period

• The midline

• The amplitude

What is the formula for the period of a sinusoidal function?

• pi over B

• 2 pi times B

• B over 2 pi

• 2 pi over B

How does adding a number at the end of a sinusoidal function equation affect the graph?

• Changes the period

• None of the above

• Changes the amplitude

• Shifts the graph up or down

What is the amplitude in the function F(x) = 3 sin(2x)?

• 6

• 1

• 2

• 3

For the function F(x) = 3 sin(2x), what is the period?

• Pi

• 1/2 Pi

• 2 Pi

• 4 Pi

In the function y = -2 cos(12x), what does the -2 represent?

• Frequency

• Midline

• Period

• Amplitude

What is the period of the function y = -2 cos(12x)?

• 2 Pi

• 4 Pi

• Pi

• 12 Pi

For the function y = 2 sin(x/2) + 1, what is the midline?

• y = 2

• y = -1

• y = 1

• y = 0

In the function y = -4 cos(2x) + 3, what is the value of D?

• -2

• 2

• -4

• 3

What does the value of B indicate in a sinusoidal function?

• The maximum value of the function

• The number of cycles within 2 Pi

• The amplitude of the function

• The midline of the function