How does the transformation $$f(x) = \frac{1}{x} + 2$$ affect the graph?

This transformation shifts the graph of the parent function $$f(x) = \frac{1}{x}$$ up by 2 units.

How does the transformation $$f(x) = \frac{1}{x - 3}$$ affect the graph?

This transformation shifts the graph of the parent function $$f(x) = \frac{1}{x}$$ to the right by 3 units.

What is the effect of the transformation $$f(x) = -\frac{1}{x}$$ ?

This transformation reflects the graph of the parent function $$f(x) = \frac{1}{x}$$ over the x-axis.

What is the significance of the vertical asymptote in rational functions?

The vertical asymptote indicates the values of x for which the function is undefined, typically where the denominator equals zero.

What is the horizontal asymptote in rational functions?

The horizontal asymptote describes the behavior of the function as x approaches infinity or negative infinity, indicating the value that f(x) approaches.

What does the transformation $$f(x) = \frac{1}{x + 1} - 3$$ do to the graph?

This transformation shifts the graph left by 1 unit and down by 3 units.

How can you identify transformations from the equation of a rational function?

By comparing the function to the parent function, you can identify shifts (translations), reflections, and stretches/compressions based on changes in the equation.

What is a stretch or compression in the context of rational functions?

A stretch or compression alters the steepness of the graph. For example, multiplying the function by a factor greater than 1 stretches it, while a factor between 0 and 1 compresses it.

Lesson 9: Transformations of Rational Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a rational function?

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 Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

8 questions

CHILDREN 2 (1ST CLASS)

Flashcard

•

KG

10 questions

Secondary storage

Flashcard

•

9th - 11th Grade

8 questions

Unit 3.7 Firm's costs, Revenue & Objective

Flashcard

•

11th Grade

10 questions

Industrial Revolution and Marxism

Flashcard

•

10th Grade

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

23 questions

CCG - CH8 Polygon angles and area Review

Quiz

•

9th - 12th Grade

15 questions

Module 3 Topic 1 Vocabulary Quiz

Quiz

•

10th Grade

20 questions

Domain and Range Spiral Review

Quiz

•

9th - 12th Grade

15 questions

Characteristics of Quadratics

Quiz

•

9th - 10th Grade

20 questions

Triangle Proportionality Theorem

Quiz

•

9th - 10th Grade

10 questions

Dividing a polynomial by a monomial

Quiz

•

10th - 12th Grade