How does the value of b affect the period of the function $$y=a\sin(bx)$$ ?

The period is given by $$\frac{360}{|b|}$$ .

What is the effect of a negative value of a in the function $$y=a\sin(bx)$$ ?

It reflects the graph across the x-axis.

What does the parameter d represent in the function $$y=a\sin(bx)+d$$ ?

It represents the vertical shift or midline.

What is the phase shift of the function $$y=a\sin(b(x-c))$$ ?

The phase shift is c units to the right.

What is the vertical stretch factor in the function $$y=a\sin(bx)$$ ?

The vertical stretch factor is |a|.

How do you determine the maximum value of the function $$y=a\sin(bx)+d$$ ?

The maximum value is $$|a| + d$$ .

How do you determine the minimum value of the function $$y=a\sin(bx)+d$$ ?

The minimum value is $$- |a| + d$$ .

What is the effect of changing the value of a in the function $$y=a\sin(bx)$$ ?

Changing a affects the amplitude of the graph.

What is the relationship between sine and cosine functions?

Sine and cosine functions are phase-shifted versions of each other; $$\sin(x) = \cos(x - 90^\circ)$$ .

Transformations of Trig Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The value of d affects the midline.

2.

FLASHCARD QUESTION

Front

What is the period of the parent graph of sine and cosine?

Back

360 degrees.

3.

FLASHCARD QUESTION

Front

Back

Down 2.

4.

FLASHCARD QUESTION

Front

Back

0.

5.

FLASHCARD QUESTION

Front

Back

Vertical Compression.

6.

FLASHCARD QUESTION

Front

Back

The amplitude is |a|.

7.

FLASHCARD QUESTION

Front

Back

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