How do you graph the function $$y=-3\text{cos}(3x)$$ ?

To graph this function, start with the cosine graph, reflect it over the x-axis, and then stretch it vertically by a factor of 3. The period will be $$\frac{2\text{π}}{3}$$ .

What is the phase shift of the function $$y=\text{sin}(x - \frac{\text{π}}{2})$$ ?

The phase shift is $$\frac{\text{π}}{2}$$ to the right.

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

The vertical shift is 2 units up.

How does the graph of $$y=\text{sin}(x)$$ differ from $$y=\text{sin}(2x)$$ ?

The graph of $$y=\text{sin}(2x)$$ has a period of $$\frac{2\text{π}}{2} = \text{π}$$ , making it complete its cycle twice as fast.

What is the relationship between sine and cosine functions?

Sine and cosine functions are phase-shifted versions of each other; specifically, $$\text{sin}(x) = \text{cos}(x - \frac{\text{π}}{2})$$ .

What is the effect of changing the amplitude in a sine function?

Changing the amplitude affects the height of the peaks and the depth of the troughs of the graph.

What is the effect of changing the frequency in a sine function?

Changing the frequency affects how many cycles the graph completes in a given interval.

4.5, 4.6 Graphing sine, cosine, tangent, and cotangent Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the equation for the sine function with an amplitude of 3 and a frequency of 3?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What does the period of a function represent?

Back

The period of a function is the length of one complete cycle.

4.

FLASHCARD QUESTION

Front

What is the amplitude of a sine or cosine graph?

Back

The amplitude represents half the distance between the maximum and minimum values of the graph.

5.

FLASHCARD QUESTION

Front

How can you find the period of a sine or cosine graph?

Back

6.

FLASHCARD QUESTION

Front

What is the frequency of a sine function?

Back

The frequency is the number of cycles the function completes in a unit interval.

7.

FLASHCARD QUESTION

Front

Back

The maximum value is 3.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

8 questions

Qualitative Research Designs

Flashcard

•

University

10 questions

Famous Company Logos

Flashcard

•

KG

12 questions

Trennbare Verben

Flashcard

•

KG

8 questions

Accounting Concepts

Flashcard

•

11th Grade

15 questions

Conditional sentences type 2

Flashcard

•

12th Grade

10 questions

Printing Press

Flashcard

•

9th - 12th Grade

10 questions

examen de anatomia dental

Flashcard

•

University

8 questions

Improving Doctor-Patient Communication

Flashcard

•

University

Popular Resources on Wayground

20 questions

Math Review

Quiz

•

3rd Grade

15 questions

Fast food

Quiz

•

7th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

10 questions

Identify Fractions, Mixed Numbers & Improper Fractions

Quiz

•

3rd - 4th Grade

Discover more resources for Mathematics

23 questions

Cumulative Vocabulary Practice

Quiz

•

9th - 11th Grade

22 questions

Permutations and Combinations Worksheet

Quiz

•

11th Grade

34 questions

NC Math 1 EOC Review

Quiz

•

9th - 11th Grade

18 questions

CCG Review - SA & V

Quiz

•

9th - 12th Grade

40 questions

8th Grade Math Review

Quiz

•

8th Grade - University

10 questions

11.1 Circumference and Arc Length

Quiz

•

9th - 12th Grade

20 questions

NC Math 3 EOC Review

Quiz

•

9th - 12th Grade

14 questions

HL Triangle Congruence

Presentation

•

9th - 12th Grade