Graphing Trig Functions

Front

What is the normal period of a sine or cosine function?

Back

2π

Front

What measures the distance from the midline to the max or min of the function?

Back

Amplitude

Front

Determine the equation for the graph of y = tan(x).

Back

y = tan(x)

Front

Determine the equation for the graph that is y = csc(x) + 1.

Back

y = csc(x) + 1

Front

What is the equation of the graph that is represented as y = -2 cos x - 3?

Back

y = -2 cos x - 3

Front

What is the effect of a vertical translation on a trigonometric function?

Back

It shifts the graph up or down without changing its shape.

Front

What does the amplitude of a sine or cosine function represent?

Back

The maximum distance from the midline to the peak or trough.

Front

How does a phase shift affect the graph of a trigonometric function?

Back

It shifts the graph left or right along the x-axis.

Front

What is the relationship between the period of a sine function and its frequency?

Back

Frequency is the reciprocal of the period.

Front

What is the effect of a horizontal stretch on a sine or cosine function?

Back

It increases the period of the function.