How do you determine the number of real roots of a quadratic equation?

The number of real roots can be determined using the discriminant, $$D = b^2 - 4ac$$ . If $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; if $$D

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

How can you convert from standard form to factored form?

To convert from standard form to factored form, you can factor the quadratic expression, often using methods like grouping or the quadratic formula.

What is the relationship between the roots and the vertex of a quadratic function?

The roots of a quadratic function are the x-values where the graph intersects the x-axis, while the vertex is the point where the graph reaches its maximum or minimum value.

What does it mean for a quadratic function to have complex roots?

A quadratic function has complex roots when the discriminant is negative, indicating that the parabola does not intersect the x-axis.

How do you graph a quadratic function in factored form?

To graph a quadratic function in factored form, identify the roots, plot the vertex, and use the direction of the parabola to sketch the graph.

What is the effect of changing the value of 'b' in a quadratic equation?

Changing the value of 'b' affects the position of the vertex and the axis of symmetry, but does not change the number of roots.

How can you verify the roots of a quadratic equation?

You can verify the roots by substituting them back into the original equation to see if they yield a true statement (i.e., equal to zero).

Quadratics: Factored Form Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the factored form of a quadratic equation?

Back

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

2.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

How do you find the sum of the roots in a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

How do you find the y-intercept of a quadratic equation?

Back

Tags

CCSS.HSF-IF.C.7A

6.

FLASHCARD QUESTION

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

Tags

CCSS.HSF-IF.C.7A

7.

FLASHCARD QUESTION

Front

What is the axis of symmetry in 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

10 questions

Basic Concepts of Probability

Flashcard

•

8th Grade

10 questions

Key Causes of Indian Independence Movements

Flashcard

•

10th Grade

12 questions

maps writing

Flashcard

•

10th Grade

10 questions

UH Firewall n Bandwidth

Flashcard

•

12th Grade

10 questions

Avaliação 8º ANO

Flashcard

•

8th Grade

10 questions

Retail Seasonal Calendar

Flashcard

•

11th Grade

11 questions

Geometry Module 2 Vocabulary

Flashcard

•

9th - 10th Grade

15 questions

Linear Relationships

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

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