Trig Graphing:  Where Are We Now?

Trig Graphing: Where Are We Now?

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the amplitude of a cosine function?

Back

The amplitude is the maximum distance from the midline of the graph to its peak or trough. For the function f(x) = -3cos x, the amplitude is 3.

2.

FLASHCARD QUESTION

Front

Define amplitude in the context of sine and cosine graphs.

Back

Amplitude represents half the distance between the maximum and minimum values of the graph.

3.

FLASHCARD QUESTION

Front

What is the general form of a cosine function?

Back

The general form is y = A cos(B(x - C)) + D, where A is the amplitude, B affects the period, C is the horizontal shift, and D is the vertical shift.

4.

FLASHCARD QUESTION

Front

How does a negative amplitude affect the cosine graph?

Back

A negative amplitude reflects the graph across the midline, inverting its peaks and troughs.

5.

FLASHCARD QUESTION

Front

What is the period of a cosine function?

Back

The period is the distance along the x-axis for one complete cycle of the graph. For y = cos(Bx), the period is 2π/|B|.

6.

FLASHCARD QUESTION

Front

What does the vertical shift (D) do to a cosine graph?

Back

The vertical shift moves the entire graph up or down by D units.

7.

FLASHCARD QUESTION

Front

How do you determine the maximum and minimum values of a cosine function?

Back

The maximum value is A + D and the minimum value is -A + D, where A is the amplitude and D is the vertical shift.

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