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

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

What is the period of a sine function given by $$y=a\text{sin}(bx)$$ ?

The period is calculated as $$\frac{2\text{π}}{|b|}$$ .

What is the amplitude of a trigonometric function?

The amplitude is the maximum distance from the midline to the peak (or trough) of the graph, determined by the absolute value of a in the equation $$y=a\text{sin}(b(x-h))+k$$ .

How do you determine the direction of a horizontal shift in a trigonometric function?

The direction of the horizontal shift is determined by the sign of h in the function $$y=a\text{sin}(b(x-h))+k$$ ; if h is positive, the shift is to the right, and if h is negative, the shift is to the left.

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

Changing the value of b affects the frequency and period of the function; a larger b results in a shorter period.

What is the general form of a transformed sine function?

The general form is $$y=a\text{sin}(b(x-h))+k$$ , where a is the amplitude, b affects the period, h is the phase shift, and k is the vertical shift.

What is the general form of a transformed cosine function?

The general form is $$y=a\text{cos}(b(x-h))+k$$ , where a is the amplitude, b affects the period, h is the phase shift, and k is the vertical shift.

How do you graph a transformed trigonometric function?

To graph a transformed trigonometric function, identify the amplitude, period, phase shift, and vertical shift, then plot key points and sketch the curve accordingly.

What is the relationship between sine and cosine functions?

Sine and cosine functions are related by a phase shift of $$\frac{\text{π}}{2}$$ ; specifically, $$\text{sin}(x) = \text{cos}(x - \frac{\text{π}}{2})$$ .

Resource Library

Math

Trigonometry

Trigonometric Functions

Transformations Of Trigonometric Functions Hw

Transformations of Trigonometric Functions HW

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

Wayground Content

Used 1+ times

FREE Resource

Student preview

16 questions

Show all answers

FLASHCARD QUESTION

Front

What is the midline in a trigonometric function?

Back

FLASHCARD QUESTION

Front

Back

The parameter k affects the midline.

FLASHCARD QUESTION

Front

How do you find the phase shift of a trigonometric function?

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

What does the vertical shift in a trigonometric function indicate?

Back

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 Microsoft

or continue with

Facebook

Apple

Others

Already have an account?

Similar Resources on Wayground

10 questions

ReactJS Flashcards

Flashcard

•

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

16 questions

Hand Rules

Flashcard

•

12th Grade

9 questions

matematika kelas xi

Flashcard

•

11th Grade

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

15 questions

Earth's Crusty Forces 11.1 :)

Flashcard

•

11th Grade - University

10 questions

2.4 - Information Management

Flashcard

•

11th Grade

Popular Resources on Wayground

11 questions

Hallway & Bathroom Expectations

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Assessment 2

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

12 questions

2026 TAP Technology in the Classroom

Presentation

•

Professional Development

15 questions

HCS SCI 05 Summer School Assessment 2 Review

Quiz

•

5th Grade

15 questions

HCS SCI 04 Summer School Review 2

Quiz

•

4th Grade

59 questions

Geometry Unit 3 Review

Quiz

•

9th - 12th Grade

14 questions

FAST ELA READING SMAPLE TEST MATERIALS

Passage

•

3rd Grade

Discover more resources for Mathematics

59 questions

Geometry Unit 3 Review

Quiz

•

9th - 12th Grade