How do you determine if a quadratic function is wider or narrower?

The width of a quadratic function is determined by the absolute value of 'a' in the equation $$y = ax^2 + bx + c$$ . A smaller absolute value of 'a' (e.g., $$\frac{1}{2}$$ ) results in a wider parabola, while a larger absolute value (e.g., $$4$$ ) results in a narrower parabola.

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 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.

How do you convert from standard form to vertex form?

To convert from standard form $$y = ax^2 + bx + c$$ to vertex form $$y = a(x - h)^2 + k$$ , you can complete the square.

What are x-intercepts?

X-intercepts are the points where the graph of a function crosses the x-axis. For a quadratic function, they are the roots of the equation.

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

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

How can you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, and x-intercepts. Plot these points and draw a smooth curve through them.

What is the importance of the vertex in graphing a parabola?

The vertex is crucial in graphing a parabola as it represents the maximum or minimum point of the function, helping to determine the overall shape and direction of the graph.

FID DAY 3 2025: Quadratics Chapter 3 Period 7 Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

The roots (or x-intercepts) of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

4.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry of a parabola?

Back

5.

FLASHCARD QUESTION

Front

What does the 'a' value in a quadratic equation indicate?

Back

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

7.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in 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

10 questions

Secondary storage

Flashcard

•

9th - 11th Grade

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

13 questions

Ions and Charges

Flashcard

•

8th Grade - University

15 questions

7517 01 Programming Basics

Flashcard

•

10th Grade - University

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

WORD FORMATION - NOUN/VERB/ADJECTIVE

Flashcard

•

10th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

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

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Exponential Functions Key Features

Quiz

•

9th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

15 questions

Graphing Inequalities

Quiz

•

7th - 9th Grade

21 questions

Factoring Trinomials (a=1)

Quiz

•

9th Grade