What is the period of the function $$y = 4 \, \text{cos}(\frac{1}{2}x + \text{π}) - 2$$ ?

The period of the function is $$4\text{π}$$ .

What is the amplitude of the function $$y = 4 \, \text{cos}(\frac{1}{2}x + \text{π}) - 2$$ ?

The amplitude of the function is 4.

What is the equation of the graph for a cosine function with an amplitude of 5?

The equation of the graph is $$y = 5 \, \text{cos}(x)$$ .

What is the relationship between sine and cosine functions?

Sine and cosine functions are related through the identity $$\text{sin}(x) = \text{cos}igg(x - \frac{\text{π}}{2}igg)$$ , meaning they are phase-shifted versions of each other.

What is the maximum value of the function $$y = 5 \, \text{cos}(x)$$ ?

The maximum value of the function is 5.

What is the minimum value of the function $$y = 5 \, \text{cos}(x)$$ ?

The minimum value of the function is -5.

How does the graph of $$y = \text{cos}(x)$$ differ from $$y = \text{sin}(x)$$ ?

The graph of $$y = \text{cos}(x)$$ starts at its maximum value (1) at x=0, while $$y = \text{sin}(x)$$ starts at 0.

What is the effect of a negative B value in the function $$y = A \, \text{cos}(Bx)$$ ?

A negative B value reflects the graph across the y-axis.

What is the period of the function $$y = \text{cos}(5x)$$ ?

The period of the function is $$\frac{2\text{π}}{5}$$ .

Graphing Trig Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the general form of a cosine function?

Back

Tags

CCSS.HSF-IF.C.7E

2.

FLASHCARD QUESTION

Front

How do you determine the period of a cosine function?

Back

Tags

CCSS.HSF-IF.C.7E

3.

FLASHCARD QUESTION

Front

What is the amplitude of a trigonometric function?

Back

Tags

CCSS.HSF-IF.C.7E

4.

FLASHCARD QUESTION

Front

Back

Changing the value of A affects the amplitude of the cosine function. If A > 1, the peaks and troughs are higher and lower, respectively. If 0 < A < 1, the peaks and troughs are closer to the midline.

Tags

CCSS.HSF-IF.C.7E

5.

FLASHCARD QUESTION

Front

What is the phase shift in a trigonometric function?

Back

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

How do you find the vertical shift of a trigonometric function?

Back

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.4

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