Sine & Cosine Graphs Review

The amplitude & period for the sine function graph is:

• amplitude: 2, period: 2π
• amplitude: 1, period: 4π
• amplitude: 0.5, period: 2π
• amplitude: 1, period: 2π

Given the cosine graph, the graph vertically shifted how mant units from the original graph.

For the cosine function graph, what are the amplitude and period of y = 2cos(2x)?

• amplitude: 2, period: π

• amplitude: 1, period: 2π

• amplitude: 2, period: 2π

• amplitude: 1, period: π

Sine graphs with no shifts usually start at _____, whereas the cosine graph usually starts at the _____

• minimum amplitude, maximum amplitude
• negative infinity, positive infinity
• zero, one
• origin, maximum amplitude

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

• 2π/3

• π/3

• 3π

• 2π

For the function y = 3sin(x) + 4, what is the amplitude?

• 3

• 4

• 7

• 1