What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \textpm \textsqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the roots of a quadratic equation.

What does the discriminant of a quadratic equation tell us?

The discriminant, given by $$D = b^2 - 4ac$$ , indicates the nature of the roots: if $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; if $$D

How do you convert from intercept form to standard form?

To convert from intercept form $$y = a(x - r_1)(x - r_2)$$ to standard form, expand the equation to obtain $$y = ax^2 - a(r_1 + r_2)x + ar_1r_2$$ .

What is the process to complete the square for a quadratic equation?

To complete the square for $$y = ax^2 + bx + c$$ , factor out $$a$$ from the first two terms, then add and subtract $$(\frac{b}{2a})^2$$ inside the parentheses.

What is the relationship between the roots and the coefficients of a quadratic equation?

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

How do you determine the vertex of a parabola given in standard form?

The vertex of a parabola given in standard form $$y = ax^2 + bx + c$$ can be found using the formula $$(h, k) = igg(-\frac{b}{2a}, figg(-\frac{b}{2a}igg)igg)$$ .

What is the axis of symmetry for a quadratic function?

The axis of symmetry for a quadratic function $$y = ax^2 + bx + c$$ is given by the line $$x = -\frac{b}{2a}$$ .

4.4 Extended - Converting Quadratic Forms Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

How do you convert a quadratic equation from standard form to intercept form?

Back

3.

FLASHCARD QUESTION

Front

What is intercept form of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

How do you convert from vertex form to standard form?

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

How do you find the x-intercepts of a quadratic equation?

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

15 questions

AP Biology Genetics Flashcard

Flashcard

•

12th Grade - University

15 questions

"The Importance of Being Earnest"

Flashcard

•

12th Grade - University

10 questions

Disney descendants flashcard

Flashcard

•

KG

10 questions

SUP E3 - PART 1

Flashcard

•

University

11 questions

Genetic Engineering Concepts

Flashcard

•

11th Grade - University

12 questions

Present perfect Vs past tense

Flashcard

•

University

10 questions

Mathematics Glossary

Flashcard

•

KG

15 questions

Parts of speech: general review

Flashcard

•

11th - 12th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

16 questions

Identifying Angles

Quiz

•

7th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

20 questions

Central Angles and Arc Measures

Quiz

•

9th - 12th Grade

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

30 questions

Intro to Circles Vocabulary

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

11 questions

Multiplying by 6

Quiz

•

KG - 12th Grade

29 questions

Scatterplots & Correlation Coefficients

Quiz

•

6th - 12th Grade