Unit 6 "Graphing Sine and Cosine Functions"

Front

What is the period of the sine function y = sin(x)?

Back

The period of y = sin(x) is 2π.

Front

What is the amplitude of the function y = 3sin(x)?

Back

The amplitude is 3.

Front

How do you determine the period of a sine function in the form y = asin(bx)?

Back

The period is calculated as 2π/|b|.

Front

What is the maximum value of the function y = -2sin(x)?

Back

The maximum value is 0, since the sine function is inverted.

Front

What is the equation for a sine function with an amplitude of 4 and a period of 2π?

Back

y = 4sin(x).

Front

What is the phase shift of the function y = sin(x - π/2)?

Back

The phase shift is π/2 to the right.

Front

What is the vertical shift of the function y = sin(x) + 3?

Back

The vertical shift is 3 units up.

Front

What is the equation for a cosine function with an amplitude of 5 and a period of π/3?

Back

y = 5cos(3x).

Front

What is the difference between sine and cosine functions?

Back

Sine starts at 0, while cosine starts at its maximum value.

Front

What is the period of y = -3sin(x)?

Back

The period is 2π.