What is the general form of an exponential function transformation?

The general form is $$f(x) = a \times b^{(x-h)} + k$$ , where $$h$$ is the horizontal shift and $$k$$ is the vertical shift.

What does the base of an exponential function determine?

The base of an exponential function determines the rate of growth or decay. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

How do you identify a vertical shift in an exponential function?

A vertical shift is identified by a constant added or subtracted from the function. For example, $$f(x) = 2^x - 3$$ shifts the graph down by 3 units.

What is the transformation of the function $$f(x) = 4^{x+3}$$ ?

The function is shifted left by 3 units.

What does the transformation $$f(x) = 2^{x} - 2$$ represent?

This transformation represents a vertical shift down by 2 units.

How do you determine the transformation of $$f(x) = 3^{x} + 1$$ ?

This function is shifted up by 1 unit.

What is the effect of changing the coefficient 'a' in $$f(x) = a \times b^x$$ ?

Changing the coefficient 'a' affects the vertical stretch or compression of the graph. If $$a > 1$$ , the graph stretches; if $$0

What is the significance of the transformation in the function $$f(x) = 2^{x-3} + 1$$ ?

This function is shifted right by 3 units and up by 1 unit.

Exponential Functions Transformation [24-25] Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to transform a function?

Back

Transforming a function involves changing its position, shape, or size on a graph through operations such as shifting, reflecting, stretching, or compressing.

3.

FLASHCARD QUESTION

Front

How do you shift an exponential function to the right?

Back

4.

FLASHCARD QUESTION

Front

What is the effect of adding a constant to an exponential function?

Back

5.

FLASHCARD QUESTION

Front

What does a negative exponent indicate in an exponential function?

Back

6.

FLASHCARD QUESTION

Front

Back

The function is shifted right by 2 units and up by 1 unit.

7.

FLASHCARD QUESTION

Front

How do you reflect an exponential function over the x-axis?

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

Organic 2 Exam 4 Review

Flashcard

•

KG

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

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

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

12 questions

Parallel Lines Cut by a Transversal

Quiz

•

10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

15 questions

Intro to Trig Ratios

Quiz

•

10th Grade

10 questions

Solving One Step Equations: Key Concepts and Techniques

Interactive video

•

6th - 10th Grade

12 questions

Triangle Inequality Theorem

Quiz

•

10th Grade