How does the equation $$f(x) = (x - 4)^2$$ transform the graph of $$f(x) = x^2$$ ?

The equation $$f(x) = (x - 4)^2$$ shifts the graph of $$f(x) = x^2$$ to the right by 4 units.

What does the vertex of a quadratic function represent?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upward or downward.

What is the standard form of a quadratic function?

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

What is the vertex form of a quadratic function?

The vertex form of a quadratic function is $$f(x) = a(x - h)^2 + k$$ , where $$(h, k)$$ is the vertex of the parabola.

How do you determine the direction of opening for a quadratic function?

The direction of opening for a quadratic function is determined by the sign of the coefficient $$a$$ in the standard form $$f(x) = ax^2 + bx + c$$ . If $$a > 0$$ , it opens upward; if $$a

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function is a vertical line that divides the parabola into two mirror-image halves, given by the equation $$x = -\frac{b}{2a}$$ .

What is the effect of adding a constant to a quadratic function?

Adding a constant to a quadratic function shifts the graph vertically. For example, $$f(x) = x^2 + 3$$ shifts the graph up by 3 units.

What does it mean to reflect a quadratic function?

Reflecting a quadratic function means flipping it over a line, usually the x-axis, which is done by multiplying the function by a negative coefficient.

How do you identify the transformations applied to a quadratic function?

To identify transformations, compare the given function to the parent function $$f(x) = x^2$$ and note changes in position (shifts), direction (reflections), and shape (stretches/compressions).

Quadratic Transformations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to shift a quadratic function left or right?

Back

3.

FLASHCARD QUESTION

Front

What does it mean to shift a quadratic function up or down?

Back

4.

FLASHCARD QUESTION

Front

What is a vertical stretch of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is a vertical compression of a quadratic function?

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the effect of a negative coefficient in front of a quadratic 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

11 questions

Português

Flashcard

•

KG - University

14 questions

History of Periodic Table of Elements

Flashcard

•

8th - 11th Grade

6 questions

SQL Views

Flashcard

•

KG - University

12 questions

DNA Replication and Protein Synthesis

Flashcard

•

9th - 12th Grade

10 questions

Explorando o Património de Lagoa

Flashcard

•

KG

5 questions

Science Flashcard Bee (CLINCHER ROUND)

Flashcard

•

7th - 12th Grade

15 questions

Practice 3 FFA Basics

Flashcard

•

9th - 12th 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

22 questions

distributive property

Quiz

•

7th Grade

18 questions

Angle Relationships

Quiz

•

7th Grade

20 questions

How Some Friendships Last — and Others Don’t Video Questions

Quiz

•

7th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

18 questions

Handbook Refresher Quiz

Quiz

•

7th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

12 questions

8th U5L9 Linear Models

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade