Periodic Functions and Transformations

Front

What is the amplitude of a periodic function?

Back

The amplitude refers to how high and low the function varies from the center line.

Front

What does the period of a function represent?

Back

The period of a function is how long one cycle is before the function repeats.

Front

What is the parent function of sine?

Back

The parent function of sine is f(x) = sin(x).

Front

How does a negative sign in front of a sine function affect its graph?

Back

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

Front

What is the formula for the amplitude of a sine function?

Back

The amplitude is given by the absolute value of the coefficient in front of the sine function.

Front

If f(x) = sin(x), what is the amplitude of g(x) = 3sin(x)?

Back

The amplitude of g(x) = 3sin(x) is 3.

Front

What is the effect of a horizontal shift on the graph of a periodic function?

Back

A horizontal shift moves the graph left or right without changing its shape.

Front

What is the effect of a vertical shift on the graph of a periodic function?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

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

Back

Front

How do you determine the period of a cosine function?

Back