What is the period of the function $$y=-2\text{sin}(3x)$$ ?

The period is $$\frac{2\text{π}}{3}$$ .

How does changing the coefficient of x in $$y=\text{sin}(bx)$$ affect the period?

Increasing b decreases the period, while decreasing b increases the period.

What is the relationship between the period and frequency of a function?

Frequency is the reciprocal of the period: $$f = \frac{1}{T}$$ .

What is the period of the function $$y=\text{cos}(4x)$$ ?

The period is $$\frac{2\text{π}}{4} = \frac{\text{π}}{2}$$ .

What does a negative amplitude indicate in a trigonometric function?

A negative amplitude indicates a reflection over the midline.

How do you determine the midline of a trigonometric function?

The midline is the horizontal line that runs through the average of the maximum and minimum values.

What is the effect of a vertical shift on the graph of a trigonometric function?

A vertical shift moves the entire graph up or down without changing its shape.

What is the period of the function $$y=3\text{sin}(2x)$$ ?

The period is $$\frac{2\text{π}}{2} = \text{π}$$ .

7.4 Warm-Up Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Which equation has an amplitude of 2 and a period of 6?

Back

3.

FLASHCARD QUESTION

Front

Back

The amplitude is 4.

4.

FLASHCARD QUESTION

Front

What is the equation for the graph shown? (hint: Use Desmos!)

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline of the graph to its peak.

7.

FLASHCARD QUESTION

Front

What is the formula to find the period of a sine or cosine function?

Back

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