What is the factored form of a quadratic equation?

The factored form of a quadratic equation is expressed as $$a(x - r_1)(x - r_2)$$ , where r_1 and r_2 are the roots of the equation.

How do you solve a quadratic equation by completing the square?

To solve by completing the square, rearrange the equation to isolate the constant, then add the square of half the coefficient of x to both sides, and factor the left side.

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 images, given by the equation $$x = -\frac{b}{2a}$$ .

What are the roots of the equation $$x^2 - 5x + 6 = 0$$ ?

The roots are $$x = 2$$ and $$x = 3$$ , found by factoring as $$(x - 2)(x - 3) = 0$$ .

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

The coefficient 'a' determines the direction of the parabola: if a > 0, it opens upwards; if a

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

The y-intercept of a quadratic function is found by evaluating the function at $$x = 0$$ , which gives the point $$(0, c)$$ in the standard form $$y = ax^2 + bx + c$$ .

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 $$\frac{c}{a}$$ .

What is the process of graphing a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, y-intercept, and plot additional points to shape the parabola.

Solving Quadratic Equations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

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

DNA Flashcards

Flashcard

•

9th - 12th Grade

11 questions

Identify Parts of an Algebraic Expression and Evaluate

Flashcard

•

9th Grade

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

12 questions

Data Transmission

Flashcard

•

9th Grade

10 questions

Statistical Estimates & Hypothesis

Flashcard

•

9th - 12th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

20 questions

Solving Systems of Equations by Graphing

Quiz

•

8th Grade

25 questions

Christmas Trivia

Quiz

•

8th Grade

20 questions

Scatter Plots and Line of Best Fit

Quiz

•

8th Grade

12 questions

8th U4L11 On Both of the Lines

Quiz

•

8th Grade

33 questions

Algebra 1 Semester 1 Final 2025

Quiz

•

8th - 10th Grade

10 questions

Exploring Global Holiday Traditions

Interactive video

•

6th - 10th Grade