Graphs of Sine & Cosine

Front

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

Back

[-2, 2]

Front

What is the amplitude of the function y = 4sin(x)?

Back

4

Front

What is the domain of the sine and cosine functions?

Back

(-∞, ∞) for both.

Front

What are the amplitude and midline of the graph y = 2sin(x) + 1?

Back

Amplitude = 2, Midline: y = 1

Front

What is the amplitude of the graph y = -3cos(x)?

Back

3

Front

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

Back

π (since period = 2π/b, where b = 2)

Front

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

Back

π/2 to the right.

Front

What is the midline of the function y = 5cos(x) - 2?

Back

y = -2.

Front

What is the amplitude of the function y = 1/2sin(x)?

Back

1/2.

Front

What is the range of the function y = -4cos(x)?

Back

[-4, 4].