Sine & Cosine Graphs

Front

What is the amplitude of a sine or cosine graph?

Back

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

Tags

CCSS.HSF-IF.C.7E

Front

How do you calculate the period of a sine or cosine graph?

Back

Tags

CCSS.HSF-IF.C.7E

Front

What is the equation of a cosine function with an amplitude of 3 and a vertical shift of -4?

Back

Tags

CCSS.HSF-IF.C.7E

Front

What does the term 'frequency' refer to in the context of sine and cosine graphs?

Back

Frequency refers to the number of cycles the graph completes in a unit interval. It is the reciprocal of the period.

Tags

CCSS.HSF-IF.C.7E

Front

Back

The maximum value is 3, which is the amplitude of the sine function.

Tags

CCSS.HSF-IF.C.7E

Front

Back

The minimum value is -1, calculated as -2 (amplitude) + 1 (vertical shift).

Tags

CCSS.HSF-IF.C.7E

Front

Back

Tags

CCSS.HSF.TF.A.4

Front

What is the effect of changing the amplitude of a sine or cosine graph?

Back

Changing the amplitude affects the height of the peaks and the depth of the troughs, but does not affect the period.

Tags

CCSS.HSF-IF.C.7E

Front

What is the relationship between the period and frequency of a sine or cosine graph?

Back

Tags

CCSS.HSF-IF.C.7E

Front

Back

The vertical shift is +2, meaning the entire graph is moved up by 2 units.

Tags

CCSS.HSF-IF.C.7E