Q: 🎁 Pre-Calculus Unit 7 Graphing Test

Front

What is the definition of amplitude in a sinusoidal function?

Back

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

Front

What is the definition of period in a sinusoidal function?

Back

The period is the distance (or time) it takes for one complete cycle of the wave to occur. It is the length of one full wave.

Front

What is the formula to find the period of a sine function of the form y = a sin(bx)?

Back

The period is calculated as P = 2π/|b|.

Front

What is the midline of a sinusoidal function?

Back

The midline is the horizontal line that runs through the middle of the wave, representing the average value of the function.

Front

How does a negative amplitude affect the graph of a sine function?

Back

A negative amplitude reflects the graph across the midline, inverting the wave.

Front

What is the amplitude of the function y = 2 sin(x)?

Back

The amplitude is 2.

Front

What is the period of the function y = sin(½x)?

Back

The period is 4π.

Front

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

Back

The amplitude is 3.

Front

What is the period of the function y = 2 cos(2x)?

Back

The period is π.

Front

If a sine function has an amplitude of 4 and a midline of y = 5, what is the maximum value of the function?

Back

The maximum value is 9 (5 + 4).