Graphing Sine and Cosine Functions

Front

What is the equation of the graph for a vertical stretch of a cosine function?

Back

y = a cos x, where a > 1.

Tags

CCSS.HSF-IF.C.7E

Front

What is the equation of the graph for a vertical compression of a sine function?

Back

y = a sin x, where 0 < a < 1.

Tags

CCSS.HSF-IF.C.7E

Front

What is the equation of the graph for a sine function with a phase shift?

Back

y = sin(x - c), where c is the phase shift.

Tags

CCSS.HSF-IF.C.7E

Front

What is the equation of the graph for a cosine function with a phase shift?

Back

y = cos(x - c), where c is the phase shift.

Tags

CCSS.HSF-IF.C.7E

Front

What is the period of the function y = sin(Bx)?

Back

The period is 2π/B.

Tags

CCSS.HSF.TF.A.4

Front

What is the period of the function y = cos(Bx)?

Back

The period is 2π/B.

Tags

CCSS.HSF.TF.A.4

Front

What is the domain of the sine function y = sin x?

Back

D: (-∞, ∞)

Front

What is the range of the sine function y = sin x?

Back

R: [-1, 1]

Tags

CCSS.HSF.TF.A.4

Front

What is the domain of the cosine function y = cos x?

Back

D: (-∞, ∞)

Front

What is the range of the cosine function y = cos x?

Back

R: [-1, 1]

Tags

CCSS.HSF.TF.A.4