Q:🎄 Pre-calculus Unit 7 Graphing Test

Front

What is the definition of amplitude in a graph?

Back

Amplitude is the maximum distance from the midline of a wave to its peak or trough.

Front

What is the definition of period in a graph?

Back

Period is the distance (or time) it takes for one complete cycle of a wave to occur.

Front

How do you determine the amplitude from the equation y = A sin(Bx)?

Back

The amplitude is the absolute value of A in the equation.

Front

How do you determine the period from the equation y = A sin(Bx)?

Back

The period is calculated as (2π)/|B|.

Front

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

Back

The amplitude is 3.

Front

What is the period of the function y = 2 sin(3x)?

Back

The period is (2π)/3.

Front

What is the amplitude of the function y = -4 cos(x)?

Back

The amplitude is 4 (amplitude is always positive).

Front

What is the period of the function y = ½ cos(2x)?

Back

The period is π.

Front

What does a graph of y = sin(x) look like?

Back

It is a smooth, continuous wave that oscillates between -1 and 1.

Front

What does a graph of y = cos(x) look like?

Back

It is similar to the sine graph but starts at its maximum value of 1.