Q: 🎁 Pre-Calculus Unit 7 Graphing Test

Front

What is Amplitude in a trigonometric function?

Back

Amplitude is the maximum distance from the midline of the graph to its peak or trough. It indicates how far the graph stretches vertically.

Front

Define Period in the context of trigonometric functions.

Back

The period is the distance along the x-axis required for the function to complete one full cycle. It determines how frequently the function repeats.

Front

What does the Midline represent in a sinusoidal graph?

Back

The midline is a horizontal line that represents the average value of the function. It is the line around which the graph oscillates.

Front

How does a vertical shift affect the graph of a trigonometric function?

Back

A vertical shift moves the entire graph up or down, changing the midline without affecting the amplitude or period.

Front

What is the effect of a negative amplitude on a graph?

Back

A negative amplitude indicates that the graph is inverted, meaning it reflects across the midline.

Front

If a function has a period of 2π, what does this imply?

Back

It implies that the function completes one full cycle over an interval of 2π units along the x-axis.

Front

How do you determine the amplitude from a function's equation?

Back

The amplitude can be determined from the coefficient of the sine or cosine function. For example, in y = A sin(Bx), |A| is the amplitude.

Front

What is the relationship between the period and the coefficient of x in a trigonometric function?

Back

The period can be calculated using the formula Period = 2π/|B|, where B is the coefficient of x in the function.

Front

What does a horizontal shift do to the graph of a trigonometric function?

Back

A horizontal shift moves the graph left or right, affecting the starting point of the cycle but not the amplitude or period.

Front

Explain the significance of the term 'Inverted' in trigonometric functions.

Back

'Inverted' refers to the reflection of the graph across the midline, typically indicated by a negative amplitude.