What is the range of the function $$y=3\text{sec}(2x-\text{π})+1$$ ?

The range is $$(-\text{∞}, -2] [4, \text{∞})$$ .

What is the equation of the asymptote for the function $$y=2\text{csc}(x)-1$$ ?

The equation of the asymptote is $$x=n\text{π}$$ .

What is the phase shift of the function $$y=\text{sin}(x - \frac{\text{π}}{3})$$ ?

The phase shift is $$\frac{\text{π}}{3}$$ to the right.

What is the vertical translation of the function $$y=\text{cos}(x) + 2$$ ?

The vertical translation is 2 units up.

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

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

What is the general form of a sine function?

The general form is $$y=A\text{sin}(Bx - C) + D$$ .

What does the variable D represent in the sine function's general form?

D represents the vertical shift of the graph.

What is the effect of changing the value of B in the sine function's general form?

Changing B affects the period of the function.

What is the relationship between sine and cosine functions?

Sine and cosine functions are phase-shifted versions of each other.

What is the domain of the function $$y=\text{sec}(x)$$ ?

The domain is all real numbers except for $$x=n\text{π} + \frac{\text{π}}{2}$$ for any integer n.

All Six Trig Graphs Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

If a trig function has an amplitude of 4 and a minimum value of 5, what is its maximum value?

Back

The maximum value is 13.

3.

FLASHCARD QUESTION

Front

What is the normal period of a sine or cosine function without dilations?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What measures the distance from the midline to the max or min of a trig function?

Back

Amplitude.

6.

FLASHCARD QUESTION

Front

Define Amplitude in the context of trigonometric functions.

Back

Amplitude is the distance from the midline to the maximum or minimum value of the function.

7.

FLASHCARD QUESTION

Front

Back

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