What does the equation $$y = (x + 5)^2$$ represent?

The equation $$y = (x + 5)^2$$ represents a quadratic function that is translated left 5 units from the parent function $$y = x^2$$ .

What does the transformation $$f(x) = x^2 - 2$$ indicate?

The transformation $$f(x) = x^2 - 2$$ indicates a vertical translation down 2 units from the parent function $$y = x^2$$ .

What does the transformation $$f(x) = (x - 3)^2$$ indicate?

The transformation $$f(x) = (x - 3)^2$$ indicates a horizontal translation right 3 units from the parent function $$y = x^2$$ .

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

The function $$f(x) = \frac{1}{2}(x - 1)^2 + 3$$ is horizontally translated right 1 unit and vertically translated up 3 units.

What does the transformation $$f(x) = -x^2 + 4$$ indicate?

The transformation $$f(x) = -x^2 + 4$$ indicates a reflection across the x-axis and a vertical translation up 4 units.

What is the effect of a coefficient less than 1 in front of a quadratic function?

A coefficient less than 1 compresses the graph vertically, making it wider compared to the parent function.

What does the transformation $$f(x) = \frac{1}{3}(x + 2)^2 - 1$$ indicate?

The transformation $$f(x) = \frac{1}{3}(x + 2)^2 - 1$$ indicates a horizontal translation left 2 units, a vertical translation down 1 unit, and a vertical compression.

What is the general form of a quadratic function?

The general form of a quadratic function is $$f(x) = ax^2 + bx + c$$ , where a, b, and c are constants.

What does the transformation $$f(x) = \frac{1}{2}(x + 4)^2 + 1$$ indicate?

The transformation $$f(x) = \frac{1}{2}(x + 4)^2 + 1$$ indicates a horizontal translation left 4 units, a vertical translation up 1 unit, and a vertical compression.

What is the significance of the vertex in a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

Transformations of Parent Functions Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for creating more complex functions through transformations.

2.

FLASHCARD QUESTION

Front

What is a vertical translation?

Back

A vertical translation shifts a graph up or down without changing its shape.

3.

FLASHCARD QUESTION

Front

What is a horizontal translation?

Back

A horizontal translation shifts a graph left or right without changing its shape.

4.

FLASHCARD QUESTION

Front

How do you translate a quadratic function up by 5 units?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the effect of the negative sign in front of a quadratic function?

Back

The negative sign reflects the graph of the quadratic function across the x-axis.

7.

FLASHCARD QUESTION

Front

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

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

14 questions

CADEIA ALIMENTAR

Flashcard

•

KG

10 questions

I Wandered Lonely As A Cloud By William Wordsworth

Flashcard

•

12th Grade

10 questions

English 10 (Final Round)

Flashcard

•

10th Grade

8 questions

EL CONSUMISMO

Flashcard

•

12th Grade

6 questions

Group B succession

Flashcard

•

11th Grade - University

10 questions

Aparato Respiratorio

Flashcard

•

KG

13 questions

7517 03 Basic Operations in Programming Languages

Flashcard

•

9th Grade - University

12 questions

Legal Writing Memo Flashcard

Flashcard

•

KG - University

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

6 questions

FOREST Self-Discipline

Lesson

•

1st - 5th Grade

7 questions

Veteran's Day

Interactive video

•

3rd Grade

20 questions

Weekly Prefix check #2

Quiz

•

4th - 7th Grade

Discover more resources for Mathematics

19 questions

Explore Triangle Congruence and Proofs

Quiz

•

9th - 12th Grade

10 questions

Exploring the Basics of Ratios

Interactive video

•

6th - 10th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

23 questions

Similar Figures

Quiz

•

9th - 12th Grade

17 questions

Parallel lines cut by a transversal

Quiz

•

10th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

12 questions

Triangle Inequality Theorem

Quiz

•

10th Grade

14 questions

Triangle Congruence Theorems

Quiz

•

8th - 10th Grade