Trig Graphs

Front

What is the formula to find the period of a sine or cosine graph?

Back

The period of a sine or cosine graph can be found using the formula: 2π/B, where B is the coefficient of x in the function.

Front

What is the equation of the sine function that has a maximum at (0, 1)?

Back

y = sin(x)

Front

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

Back

The period is π.

Front

What is the effect of a vertical shift of +3 on the graph of y = sin(x)?

Back

The graph of y = sin(x) will be shifted up by 3 units.

Front

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

Back

The amplitude is 4.

Front

How does a negative sign in front of the cosine function affect its graph?

Back

A negative sign reflects the graph across the x-axis.

Front

What is the equation of the cosine function that has a minimum at (0, -2)?

Back

y = -2cos(x)

Front

What is the horizontal shift of the function y = sin(x - π/4)?

Back

The graph is shifted to the right by π/4.

Front

What is the period of the function y = 3sin(1/2x)?

Back

The period is 4π.

Front

What is the equation of the function that has a vertical shift of -2 and an amplitude of 5?

Back

y = 5sin(x) - 2.