Q:☃️ Pre-Calculus Unit 7 Graphing Test

Front

What is a vertical shift down in graphing?

Back

A vertical shift down occurs when the entire graph of a function is moved downward by a certain number of units, affecting the y-values of the function.

Front

What does the term 'period' refer to in trigonometric functions?

Back

The period of a trigonometric function is the distance along the x-axis over which the function completes one full cycle.

Front

What is the equation for a cosine function with a horizontal compression?

Back

y = cos(½x) represents a cosine function with a period of 4π, indicating a horizontal compression.

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline to the peak (or trough) of the graph of a trigonometric function.

Front

What does a midline represent in graphing?

Back

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

Front

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

Back

A vertical shift up moves the entire graph of a function upward by a specified number of units, increasing the y-values.

Front

What is the effect of changing the amplitude of a sine function?

Back

Changing the amplitude affects the height of the peaks and the depth of the troughs of the sine wave, but not its period.

Front

What is the equation for a sine function with a vertical stretch?

Back

y = 2sin(x) represents a sine function with an amplitude of 2, indicating a vertical stretch.

Front

Explain the concept of horizontal shift to the right in graphing.

Back

A horizontal shift to the right occurs when the graph of a function is moved to the right along the x-axis, affecting the x-values.

Front

What is the significance of the term 'inverted' in graphing?

Back

An inverted graph reflects the function across the midline, changing the peaks to troughs and vice versa.