3.3 Graphs of Circular Functions

3.3 Graphs of Circular Functions

11th - 12th Grade

6 Qs

quiz-placeholder

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3.3 Graphs of Circular Functions

3.3 Graphs of Circular Functions

Assessment

Quiz

Mathematics

11th - 12th Grade

Hard

Created by

Sean Sattler

Used 6+ times

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6 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Media Image

What is the amplitude?

Answer explanation

Amplitude = maxmin2Amplitude\ =\ \frac{\max-\min}{2}

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the period of the graph?

2π2\pi

π\pi

4π4\pi

3π3\pi

3π2\frac{3\pi}{2}

Answer explanation

The period is the distance between peaks.

5π2π2=4π2=2π\frac{5\pi}{2}-\frac{\pi}{2}=\frac{4\pi}{2}=2\pi

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The graph of sine has been transformed in the graph shown. What is the phase shift?

3

1.429

-1

4.571

2π2\pi

Answer explanation

y = sin(x) has x-intercept at 0; this graph has x-intercept at 3, so the phase shift was right 3 units.

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the period?

π\pi

2π2\pi

π2\frac{\pi}{2}

3π2\frac{3\pi}{2}

1-1

Answer explanation

The period is the distance between peaks

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

What is the amplitude?

3-3

11

22

44

2-2

Answer explanation

Amplitude = maxmin2Amplitude\ =\ \frac{\max-\min}{2}

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

The graph of cosine (purple) has been transformed (black).

What is the phase shift?

π\pi

11

π2\frac{\pi}{2}

3π2\frac{3\pi}{2}

2π2\pi