Unit 7 Test Review

Front

What is the amplitude of a trigonometric function?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the graph. It is always a positive value.

Front

How do you find the maximum value of a trigonometric function given its amplitude and minimum value?

Back

Maximum value = Minimum value + 2 * Amplitude.

Front

What is the midline of a sine function?

Back

The midline is the horizontal line that runs through the middle of the graph, calculated as the average of the maximum and minimum values.

Front

Write the general form of a sine function with amplitude A and period P.

Back

y = A * sin(B(x - C)) + D, where B = 2π/P.

Front

What is the period of a sine function?

Back

The period is the distance (in terms of x) it takes for the function to complete one full cycle.

Front

How do you determine the period of a sine function from its equation?

Back

Period = 2π / B, where B is the coefficient of x in the sine function.

Front

What is the relationship between amplitude and the graph of a sine function?

Back

The amplitude determines the height of the peaks and the depth of the troughs of the graph.

Front

If a sine function has an amplitude of 6, what are its maximum and minimum values?

Back

Maximum value = 6, Minimum value = -6.

Front

What is the effect of changing the amplitude of a sine function?

Back

Changing the amplitude stretches or compresses the graph vertically.

Front

How do you identify the amplitude from the equation of a sine function?

Back

The amplitude is the absolute value of the coefficient in front of the sine function.