4.02 Warmup - Sine Parent Function

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline to the peak (or trough) of the wave.

Front

How do you determine the period of a sine function?

Back

The period of a sine function is the distance along the x-axis for one complete cycle of the wave. For the basic sine function, y = sin(x), the period is 2π.

Front

What is the formula for the amplitude of a sine wave?

Back

The amplitude is given by the coefficient in front of the sine function, y = A sin(Bx), where A is the amplitude.

Front

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

Back

The period is calculated as 2π/B.

Front

Where does the graph of y = sin(x) start its first cycle?

Back

The graph of y = sin(x) starts its first cycle at the point (0,0).

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.

Front

What does a sine wave look like?

Back

A sine wave is a smooth, periodic oscillation that resembles a continuous wave.

Front

How does changing the amplitude affect the sine wave?

Back

Increasing the amplitude stretches the wave vertically, while decreasing it compresses the wave.

Front

What is the phase shift in a sine function?

Back

The phase shift is the horizontal shift left or right for the sine function, represented in the equation y = sin(B(x - C)).

Front

What is the vertical shift in a sine function?

Back

The vertical shift moves the entire graph up or down, represented in the equation y = A sin(Bx) + D, where D is the vertical shift.