Amplitude, Period and Midline Remix

Front

What is Amplitude in a trigonometric function?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the graph. It represents the height of the wave.

Front

How is the Period of a sine or cosine function defined?

Back

The period is the distance along the x-axis for one complete cycle of the wave. It can be calculated using the formula: Period = 2π/B, where B is the coefficient of x.

Front

What is the Midline of a trigonometric graph?

Back

The midline is a horizontal line that represents the average value of the function. It is the line around which the graph oscillates.

Front

What is the formula to find the period of a sine or cosine function?

Back

The period can be found using the formula: Period = 2π/B.

Front

If the amplitude of a function is 1, what does this indicate about the graph?

Back

It indicates that the maximum height of the graph from the midline is 1 unit.

Front

What does a higher amplitude indicate about a wave?

Back

A higher amplitude indicates that the wave has greater height, meaning it reaches higher peaks and lower troughs.

Front

How do you determine the midline of a sine or cosine function?

Back

The midline can be determined by finding the average of the maximum and minimum values of the function.

Front

What is the effect of changing the value of B in the function y = A sin(Bx)?

Back

Changing the value of B affects the period of the function. A larger B results in a shorter period, while a smaller B results in a longer period.

Front

What is the amplitude of the function y = 3 cos(x)?

Back

The amplitude is 3, which means the graph reaches a maximum height of 3 units above the midline.

Front

What is the period of the function y = sin(4x)?

Back

The period is π/2, calculated using the formula Period = 2π/B, where B = 4.