Trig Graphs: Amplitude and Period

Front

What is the period of a cosine function in the form y = a cos(bx)?

Back

The period is given by the formula: Period = 2π/|b|.

Front

What is the amplitude of a sine function in the form y = a sin(bx)?

Back

The amplitude is the absolute value of 'a', which represents the maximum height of the wave.

Front

How do you determine the period of the function y = 4cos(3x)?

Back

The period is calculated as 2π/3.

Front

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

Back

The amplitude is 5, as amplitude is always a positive value.

Front

Write the equation for a cosine function with an amplitude of 2 and a period of π.

Back

y = 2cos(2x).

Front

What is the period of the function y = 6sin(4x)?

Back

The period is 2π/4 = π/2.

Front

Identify the function: y = cos(x) or y = sin(x) based on the equation y = 3sin(2x).

Back

This is a sine function.

Front

What is the amplitude of the function y = 7cos(5x) - 1?

Back

The amplitude is 7.

Front

How do you find the period of the function y = 5sin(6x)?

Back

The period is 2π/6 = π/3.

Front

What is the amplitude of the function y = -8cos(x)?

Back

The amplitude is 8.