Graphing Trig Functions (sine and cosine)

Front

What is the equation of a cosine function with an amplitude of 5?

Back

y = 5 cos x

Front

What is the vertical shift of the function y = cos x - 3?

Back

Down 3

Front

What is the equation of a cosine function with a period of 2π/2?

Back

y = 4 cos(θ/2) - 2

Front

What is the equation of a sine function with an amplitude of 2?

Back

y = 2 sin x

Front

What is the period of the function y = sin(5x)?

Back

The period is 2π/5.

Front

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

Back

The amplitude is 3.

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 equation of a sine function with a vertical shift of 4?

Back

y = sin x + 4

Front

What is the amplitude of the function y = -2 cos x?

Back

The amplitude is 2 (the negative sign indicates reflection).

Front

What is the period of the function y = 2 cos(3x)?

Back

The period is 2π/3.