Math 3 Trig Graphs Review

Front

What is the period of a function?

Back

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

Front

What is the midline of a Ferris wheel with a center 28 feet above the ground?

Back

The midline of the Ferris wheel is 28 feet.

Front

At t=90 seconds, what is the height of a person on a Ferris wheel with a 48-foot diameter?

Back

At t=90 seconds, the person is at 52 feet.

Front

What is the period of the function represented by the equation with a period of 8π?

Back

The period of the equation is 8π.

Front

What is the period of the function represented by the equation with a period of 3π?

Back

The period of the equation is 3π.

Front

Define the amplitude of a trigonometric function.

Back

The amplitude is the height from the midline to the maximum or minimum value of the function.

Front

What is the range of a sine function?

Back

The range of a sine function is from -1 to 1.

Front

How do you determine the maximum height of a person on a Ferris wheel?

Back

The maximum height is the midline plus the radius of the wheel.

Front

What is the formula for the height of a person on a Ferris wheel as a function of time?

Back

y = midline + amplitude * sin(angular frequency * t + phase shift).

Front

What does the angular frequency represent in a trigonometric function?

Back

The angular frequency determines how quickly the function oscillates.