What is the period of the function $$y = 2 \times \text{sin}(4x) + 3$$ ?

The period is calculated as $$\frac{2\text{π}}{B}$$ where B = 4. Thus, the period is $$\frac{2\text{π}}{4} = \frac{\text{π}}{2}$$ .

How do you find the maximum value of the function $$y = 3 \times \text{sin}(2x) + 1$$ ?

The maximum value is found by adding the amplitude to the vertical shift: Maximum = Amplitude + Vertical Shift = 3 + 1 = 4.

What is the minimum value of the function $$y = -2 \times \text{sin}(x) - 1$$ ?

The minimum value is found by subtracting the amplitude from the vertical shift: Minimum = Vertical Shift - Amplitude = -1 - 2 = -3.

Define the term 'frequency' in relation to sinusoidal functions.

Frequency is the number of cycles a sinusoidal function completes in a unit interval. It is the reciprocal of the period: Frequency = $$\frac{1}{\text{Period}}$$ .

What is the effect of changing the amplitude on the graph of a sinusoidal function?

Changing the amplitude affects the height of the peaks and the depth of the troughs of the wave. A larger amplitude results in taller peaks and deeper troughs.

How does a negative amplitude affect the graph of a sinusoidal function?

A negative amplitude reflects the graph across the midline, inverting the peaks and troughs.

What is the significance of the value of D in a sinusoidal function?

The value of D represents the vertical shift of the graph. It determines how far up or down the entire graph is moved.

How do you graph a sinusoidal function?

To graph a sinusoidal function, identify the amplitude, period, phase shift, and vertical shift. Plot key points based on these parameters and connect them smoothly.

What is the relationship between sine and cosine functions?

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

PRECAL B UNIT 2 REVIEW Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the general form of a sinusoidal function?

Back

2.

FLASHCARD QUESTION

Front

Define amplitude in the context of sinusoidal functions.

Back

3.

FLASHCARD QUESTION

Front

What does the parameter B represent in a sinusoidal function?

Back

4.

FLASHCARD QUESTION

Front

How do you determine the vertical shift of a sinusoidal function?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Explain the concept of phase shift in sinusoidal functions.

Back

7.

FLASHCARD QUESTION

Front

What is the midline of a sinusoidal function?

Back

Create a free account and access millions of resources

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

10 questions

Smart Online Shopper

Flashcard

•

KG - University

12 questions

Legal Writing Memo Flashcard

Flashcard

•

KG - University

13 questions

7517 03 Basic Operations in Programming Languages

Flashcard

•

9th Grade - University

6 questions

Group B succession

Flashcard

•

11th Grade - University

12 questions

Like to vs Would like to - course 6 (2H)

Flashcard

•

9th - 12th Grade

10 questions

I Wandered Lonely As A Cloud By William Wordsworth

Flashcard

•

12th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Christmas Lyrics

Quiz

•

12th Grade

15 questions

Mock Fall Final

Quiz

•

9th - 12th Grade

23 questions

Rational Exponents and Simplifying using Exponent Properties

Quiz

•

9th - 12th Grade

12 questions

Polynomials 7-1/7-2/7-3

Lesson

•

9th - 12th Grade

13 questions

Congruent Triangle Proofs

Quiz

•

9th - 12th Grade

14 questions

Permutations and Combinations

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

11 questions

73 WarmUp: Graphing SOE/Ineqs

Quiz

•

9th - 12th Grade