PC01 - Graphing Sine and Cosine Mini-Flashcard

Front

Write an equation of a sine function with a period of π and amplitude of 7.

Back

y=7sin(2x)

Front

Find the amplitude of y=-5cos(1/2x+π).

Back

5

Front

Phase shift means ...

Back

A left or right movement

Front

Find the period of y=2sin(1/4x-π/2).

Back

8π

Front

The period of a sine or cosine graph can be found by ....

Back

2π/B

Front

What is the amplitude of a sine function?

Back

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

Front

How do you determine the period of a sine function?

Back

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

Front

What does a negative amplitude indicate in a cosine function?

Back

It reflects the graph across the x-axis.

Front

What is the phase shift of the function y=3sin(x-π/4)?

Back

π/4 to the right.

Front

What is the general form of a sine function?

Back

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