What is the discriminant of a quadratic equation?

The discriminant of a quadratic equation $$ax^2 + bx + c = 0$$ is given by $$D = b^2 - 4ac$$ . It determines the nature of the roots.

What does a positive discriminant indicate?

A positive discriminant indicates that the quadratic equation has two distinct real roots.

What does a zero discriminant indicate?

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

What does a negative discriminant indicate?

A negative discriminant indicates that the quadratic equation has no real roots (the roots are complex).

How can you determine if a quadratic function is increasing or decreasing?

A quadratic function is increasing on the interval to the right of the vertex and decreasing on the interval to the left of the vertex.

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.

What is the effect of the coefficient $$a$$ in the quadratic function $$f(x) = ax^2 + bx + c$$ ?

The coefficient $$a$$ determines the direction of the parabola (upward if $$a > 0$$ , downward if $$a

What is a quadratic equation?

A quadratic equation is an equation that can be expressed in the standard form $$ax^2 + bx + c = 0$$ , where $$a$$ , $$b$$ , and $$c$$ are constants and @@a eq 0@@.

Quadratic Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

4.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry for a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens upwards?

Back

6.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens downwards?

Back

7.

FLASHCARD QUESTION

Front

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

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

3 ANO Jogos Africanos

Flashcard

•

10th Grade

10 questions

Sayuran Sehat untuk Anak-Anak

Flashcard

•

KG

11 questions

DYLAN CUESTIONARIO

Flashcard

•

KG

12 questions

maps writing

Flashcard

•

10th Grade

10 questions

Avaliação 8º ANO

Flashcard

•

8th Grade

11 questions

Geometry Module 2 Vocabulary

Flashcard

•

9th - 10th Grade

15 questions

Linear Relationships

Flashcard

•

9th - 12th Grade

10 questions

Basic Concepts of Probability

Flashcard

•

8th Grade

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

10 questions

Finding Area and Circumference of a Circle

Interactive video

•

6th - 10th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

TSI Math Practice Questions

Quiz

•

8th - 12th Grade

24 questions

Identify Properties of Polygons and Quadrilaterals

Quiz

•

9th - 12th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

25 questions

Simplify Expressions with Exponents

Quiz

•

9th - 12th Grade

20 questions

Basic Trig Ratios

Quiz

•

9th - 12th Grade