Sine and Cosine Graphs

Front

What is the period of the function y=4cos5x?

Back

The period is 2π/5.

Front

How can the period of a sine or cosine graph be calculated?

Back

The period can be found using the formula 2π/B, where B is the coefficient of x.

Front

What is the amplitude of the function y=3sinx?

Back

The amplitude is 3.

Front

Which function has an amplitude of 2?

Back

f(x) = 2sin(x) or f(x) = 2cos(x).

Front

What is the general form of a sine function?

Back

y = A sin(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

What is the general form of a cosine function?

Back

y = A cos(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

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 = cos(x) + 2?

Back

The vertical shift is 2 units up.

Front

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

Back

The amplitude is 4 (amplitude is always positive).

Front

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

Back

The period is π.