Trig Equation & Graph Characteristics

Front

What is the amplitude of a trigonometric function?

Back

The amplitude measures the distance from the midline to the maximum or minimum of the function.

Front

What is the period of a sine function?

Back

The period is the distance along the x-axis for one complete cycle of the sine wave.

Front

How do you find the initial x-value of a cosine function?

Back

Set the argument of the cosine function equal to zero and solve for x.

Front

What is the phase shift in a trigonometric function?

Back

The phase shift is the horizontal shift left or right for the graph of the function.

Front

Back

Front

What is the vertical translation in a trigonometric function?

Back

The vertical translation shifts the graph up or down along the y-axis.

Front

Back

Front

What is the general form of a cosine function?

Back

The general form is y = A cos(bx - c) + d, where A is amplitude, b affects the period, c is phase shift, and d is vertical translation.

Front

What does a negative amplitude indicate in a trigonometric function?

Back

A negative amplitude reflects the graph across the midline.

Front

How do you find the maximum value of a sine function?

Back

The maximum value is equal to the amplitude plus the vertical translation.