What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$b^2 - 4ac$$ , determines the nature of the roots: if positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.

What is the vertex of a parabola represented by a quadratic equation?

The vertex is the highest or lowest point of the parabola, found at $$x = -\frac{b}{2a}$$ , and the corresponding y-value can be found by substituting x back into the equation.

What is the axis of symmetry in a quadratic function?

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

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.

What is the factored form of a quadratic equation?

The factored form of a quadratic equation is $$y = a(x - p)(x - q)$$ , where p and q are the roots of the equation.

How can you check if your factored form is correct?

You can check by expanding the factored form back into standard form and ensuring it matches the original quadratic equation.

Factoring Quadratic Equations Flashcard Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, often found by factoring or using the quadratic formula.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

How do you determine the values of x when y = 0 in a quadratic equation?

Back

Set the quadratic equation equal to zero and solve for x, either by factoring, completing the square, or using the quadratic formula.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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

Already have an account?

Similar Resources on Wayground

10 questions

Disney descendants flashcard

Flashcard

•

KG

10 questions

Atoms and Molecules

Flashcard

•

9th Grade

8 questions

English to Arabic Vocabulary

Flashcard

•

9th Grade

10 questions

Mathematics Glossary

Flashcard

•

KG

11 questions

Unit 1 | Topic 2 | Key Terms - Flashcards

Flashcard

•

9th - 12th Grade

17 questions

Literary Terms Flashcard Unit 2

Flashcard

•

10th Grade

17 questions

Literary Terms Flashcard Unit 2

Flashcard

•

10th Grade

10 questions

Twelfth Night

Flashcard

•

10th Grade

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

9 questions

FOREST Community of Caring

Lesson

•

1st - 5th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

14 questions

General Technology Use Quiz

Quiz

•

8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

19 questions

Thanksgiving Trivia

Quiz

•

6th Grade

Discover more resources for Mathematics

34 questions

Geometric Terms

Quiz

•

9th - 12th Grade

16 questions

Proportional Relationships And Constant Of Proportionality

Quiz

•

7th - 12th Grade

20 questions

Simplifying Radicals

Quiz

•

10th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

16 questions

Function or Non-Function?

Quiz

•

8th - 10th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

56 questions

CCG 2.2.3 Area

Quiz

•

9th - 12th Grade

20 questions

Triangle Congruence

Quiz

•

9th - 10th Grade