Graphing Trigonometric Functions

Front

What is the amplitude of the function y = -4 cos(5x)?

Back

The amplitude is 4.

Tags

CCSS.HSF-IF.C.7E

Front

What is the period of the function y = -4 cos(5x)?

Back

Tags

CCSS.HSF.TF.A.4

Front

What is the formula for the period of a sinusoidal function y = sin(bx)?

Back

Tags

CCSS.HSF.TF.A.4

Front

Evaluate f(0) for the function f(x) = -3cos(x).

Back

f(0) = -3.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(π) for the function f(x) = -3cos(x).

Back

f(π) = 3.

Tags

CCSS.HSF.IF.A.2

Front

What is the equation of the graph that has a maximum value of 1 and a minimum value of -5?

Back

The equation is y = -3cos(2x) + 1.

Tags

CCSS.HSF-IF.C.7E

Front

What does the amplitude of a trigonometric function represent?

Back

The amplitude represents the maximum distance from the midline of the graph.

Tags

CCSS.HSF-IF.C.7E

Front

How does the value of 'b' in y = sin(bx) affect the period of the function?

Back

The value of 'b' inversely affects the period; as 'b' increases, the period decreases.

Tags

CCSS.HSF-IF.C.7E

Front

What is the effect of a negative coefficient in front of the cosine function?

Back

A negative coefficient reflects the graph across the x-axis.

Tags

CCSS.HSF-IF.C.7E

Front

What is the midline of the function y = 3sin(2x) + 1?

Back

The midline is y = 1.

Tags

CCSS.HSF-IF.C.7E