Graph Trig Functions

Front

What is the amplitude of a trigonometric function?

Back

The amplitude is the maximum distance from the midline of the graph to the peak (or trough) of the wave. It is half the distance between the maximum and minimum values.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The maximum value can be found using the formula: Maximum Value = Minimum Value + Amplitude.

Tags

CCSS.HSF-IF.C.7E

Front

What is the period of a trigonometric function?

Back

Tags

CCSS.HSF.TF.A.4

Front

Back

Tags

CCSS.HSF-IF.C.7E

Front

Back

The amplitude is 3, which is the coefficient of the sine function.

Tags

CCSS.HSF-IF.C.7E

Front

What does a negative coefficient in front of a trigonometric function indicate?

Back

A negative coefficient indicates a reflection over the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

How does changing the amplitude affect the graph of a trigonometric function?

Back

Changing the amplitude stretches or compresses the graph vertically. A larger amplitude results in taller peaks and deeper troughs.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of a phase shift in a trigonometric function?

Back

A phase shift moves the graph left or right along the x-axis. It is determined by the value of the horizontal shift in the function.

Tags

CCSS.HSF-IF.C.7E

Front

What is the relationship between the maximum and minimum values of a sine function?

Back

For a sine function, the maximum value is equal to the amplitude plus the vertical shift, and the minimum value is equal to the negative amplitude plus the vertical shift.

Tags

CCSS.HSF-IF.C.7E

Front

How do you determine the vertical shift of a trigonometric function?

Back

Tags

CCSS.HSF-IF.C.7E