Trig Functions Amplitude and Period

Front

What is the parent graph of the sine function?

Back

y = sin(x)

Front

What is the parent graph of the cosine function?

Back

y = cos(x)

Front

What type of function is represented by y = sin(x)?

Back

Sine function

Front

What type of function is represented by y = cos(x)?

Back

Cosine function

Front

In the function y = asin(bx - h) + k, which value represents the amplitude?

Back

a

Front

What does amplitude represent in a trigonometric function?

Back

The vertical stretch of the graph; distance between the midline and the max/min.

Front

What is the period of a sine or cosine function?

Back

The distance required for the function to complete one full cycle.

Front

How is the period of the function y = asin(bx - h) + k calculated?

Back

Period = (2π)/|b|

Front

What is the effect of changing the value of 'b' in the function y = asin(bx - h) + k?

Back

It affects the period of the function.

Front

What is the midline of a trigonometric function?

Back

The horizontal line that runs through the middle of the graph, typically y = k.