Graphing Sine and Cosine Functions

Front

What is the amplitude of the parent sine function?

Back

1

Front

What is the period of the parent cosine function?

Back

2π

Front

Which direction does the negative sine function go?

Back

Down

Front

What is the phase shift of the function y = 2sin(4x) - 3?

Back

-π/2

Front

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

Back

4π

Front

Define amplitude in the context of sine and cosine functions.

Back

Amplitude is the maximum distance from the midline of the graph to its peak or trough.

Front

What is the general formula for the period of a sine or cosine function?

Back

Period = 2π / |b|, where b is the coefficient of x.

Front

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

Back

It reflects the graph across the x-axis.

Front

What is the effect of a vertical shift in a sine or cosine function?

Back

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

Front

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

Back

π to the right.