What is the phase shift of the function $$y=\text{sin}(x-\frac{\text{π}}{4})$$ ?

The phase shift is $$\frac{\text{π}}{4}$$ to the right.

What is the amplitude of the sine function?

The amplitude of the sine function is 1.

How does a vertical shift affect the graph of sine or cosine?

A vertical shift moves the graph up or down.

What is the difference between sine and cosine functions?

Sine starts at 0, while cosine starts at its maximum value.

What is the effect of a vertical stretch on the sine function?

A vertical stretch increases the amplitude of the sine function.

What is the effect of a vertical compression on the sine function?

A vertical compression decreases the amplitude of the sine function.

What is the formula for the cosine function?

The parent function of cosine is defined as $$y=\text{cos}(\theta)$$ .

What happens to the graph of sine when the input is negative?

The graph of sine is odd, so $$\text{sin}(-x) = -\text{sin}(x)$$ .

What is the relationship between sine and cosine functions?

Sine and cosine are phase-shifted versions of each other, with a phase shift of $$\frac{\text{π}}{2}$$ .

U6 Test: Graphs of Trig Functions (Sin/Cos) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the parent function of sine?

Back

2.

FLASHCARD QUESTION

Front

What is the midline of the sine function?

Back

3.

FLASHCARD QUESTION

Front

What is the range of the sine function?

Back

4.

FLASHCARD QUESTION

Front

What effect does a phase shift have on the graph of sine or cosine?

Back

A phase shift results in a horizontal shift (left/right) of the graph.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

A horizontal compression occurs.

7.

FLASHCARD QUESTION

Front

What is the period of the sine function?

Back

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