Graphing Sine & Cosine with Transformations

Front

What is the period of the function y=5cos(⅕x)?

Back

10π

Front

Which function represents the graph of a sine function with an amplitude of 3?

Back

f(x) = 3 sin x

Front

What is the amplitude of the function y = 3sin(7x) - 2?

Back

3

Front

In the function y=a*sin(bx-c)+d, which value represents a vertical shift?

Back

d

Front

Which equation represents a cosine function that is reflected over the x-axis?

Back

y= -cos(2x)

Front

What is the general form of a sine function?

Back

y = a*sin(bx - c) + d

Front

How does the value of 'a' affect the amplitude of the sine function?

Back

The amplitude is |a|.

Front

What does the value 'b' in the function y = a*sin(bx) determine?

Back

The frequency and period of the function.

Front

What is the period of the function y = sin(2x)?

Back

π

Front

How does a positive value of 'd' affect the graph of the sine function?

Back

It shifts the graph upward.