Graphing Sine & Cosine

Front

What is the general form of the sine function?

Back

Front

What does the amplitude (A) represent in the sine function?

Back

The amplitude (A) represents the maximum distance from the midline (equilibrium position) of the wave to its peak or trough.

Front

How does the value of B in the sine function affect its graph?

Back

Front

What is the effect of a negative sign in front of the sine function?

Back

A negative sign in front of the sine function indicates a reflection over the x-axis.

Front

What does the vertical shift (D) do to the graph of the sine function?

Back

The vertical shift (D) moves the entire graph of the sine function up or down by D units.

Front

Back

Front

Back

Front

What does the term 'horizontal stretch/compression' refer to in the sine function?

Back

Horizontal stretch/compression refers to the effect of the coefficient B in the sine function, which alters the width of the wave.

Front

How do you determine the maximum and minimum values of the sine function?

Back

The maximum value of the sine function is A + D, and the minimum value is -A + D.

Front

What is the effect of changing the amplitude (A) from 1 to 3 in the sine function?

Back

Changing the amplitude (A) from 1 to 3 increases the height of the peaks and the depth of the troughs, making the wave taller.