What does the discriminant tell us about a quadratic equation?

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 factor a quadratic equation?

To factor a quadratic equation of the form $$ax^2 + bx + c$$ , find two numbers that multiply to $$ac$$ and add to $$b$$ .

What is the vertex form of a quadratic equation?

The vertex form of a quadratic equation is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

What is the y-intercept of a quadratic function?

The y-intercept of a quadratic function is the point where the graph crosses the y-axis, found by evaluating the function at $$x = 0$$ .

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

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

How can you determine if a quadratic equation can be factored?

A quadratic equation can be factored if its discriminant is a perfect square, indicating that the roots are rational.

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 a perfect square trinomial?

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as $$(x + a)^2 = x^2 + 2ax + a^2$$ .

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 standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What does the graph of a quadratic equation look like?

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

13 questions

Types and Components of Computer Systems

Flashcard

•

9th - 12th Grade

13 questions

Money

Flashcard

•

9th - 12th Grade

8 questions

Customer Service Vocabulary

Flashcard

•

7th - 12th Grade

8 questions

Untitled Flashcards

Flashcard

•

9th - 12th Grade

14 questions

Obras El realismo en la historia

Flashcard

•

9th - 12th Grade

12 questions

Biblia (nat2020 kerettantervi alapfogalmak)

Flashcard

•

9th Grade - University

10 questions

Flashcards sobre Oratoria

Flashcard

•

KG

10 questions

ENGLISH

Flashcard

•

KG

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

15 questions

scatter plots and trend lines

Quiz

•

8th Grade

13 questions

Finding slope from graph

Quiz

•

8th Grade

15 questions

slope intercept form

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

12 questions

8th Grade Slope _ Unit 3 Lesson 10

Quiz

•

8th Grade

17 questions

Identify Functions

Quiz

•

8th Grade