Sine and Cosine Graph

Front

What is the amplitude of a sine or cosine graph?

Back

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

Tags

CCSS.HSF-IF.C.7E

Front

How do you determine if a function is sine or cosine based on its graph?

Back

A sine graph starts at the midline (0) and goes up, while a cosine graph starts at its maximum value.

Tags

CCSS.HSF-IF.C.7E

Front

What is the period of a sine or cosine function?

Back

Tags

CCSS.HSF.TF.A.4

Front

What is the formula for the amplitude of a sine or cosine function?

Back

The amplitude is given by the coefficient in front of the sine or cosine function, represented as |A| in the function y = A sin(Bx + C) + D.

Tags

CCSS.HSF-IF.C.7E

Front

Back

Tags

CCSS.HSF-IF.C.7E

Front

How does a vertical shift affect the sine or cosine graph?

Back

A vertical shift moves the entire graph up or down without changing its shape or period.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of changing the coefficient of x in the function y = sin(Bx)?

Back

Tags

CCSS.HSF-IF.C.7E

Front

What is the midline of a sine or cosine graph?

Back

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

Tags

CCSS.HSF-IF.C.7E

Front

How do you find the maximum and minimum values of a sine or cosine function?

Back

The maximum value is the amplitude plus the vertical shift, and the minimum value is the negative amplitude plus the vertical shift.

Tags

CCSS.HSF-IF.C.7E

Front

What is the relationship between the amplitude and the height of the peaks in a sine or cosine graph?

Back

The height of the peaks is equal to the amplitude when measured from the midline.

Tags

CCSS.HSF-IF.C.7E