What is the significance of the 'a' value in a quadratic function?

The 'a' value in a quadratic function determines the direction of the parabola (upward if $$a > 0$$ , downward if $$a

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 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 $$y = c$$ in the standard form $$y = ax^2 + bx + c$$ .

What is the vertex form of a quadratic function?

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

What is the effect of changing the 'b' value in a quadratic function?

Changing the 'b' value in a quadratic function affects the position of the vertex and the axis of symmetry, but does not change the direction of the parabola.

How do you determine if a quadratic function is increasing or decreasing?

A quadratic function is increasing on the interval to the right of the vertex and decreasing on the interval to the left of the vertex.

What is the axis of symmetry for the quadratic function $$y = -2x^2 + 4x + 1$$ ?

The axis of symmetry can be found using the formula $$x = -\frac{b}{2a} = -\frac{4}{2(-2)} = 1$$ .

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, y-intercept, and plot additional points. Then, draw a smooth curve through the points to form a parabola.

Characteristics of Quadratic Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadratic function?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic function?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

How do you find the axis of symmetry for a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens upwards?

Back

6.

FLASHCARD QUESTION

Front

What is the range of a quadratic function that opens downwards?

Back

7.

FLASHCARD QUESTION

Front

How do you convert from vertex form to standard form?

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

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

15 questions

7517 01 Programming Basics

Flashcard

•

10th Grade - University

11 questions

Review A2

Flashcard

•

10th Grade

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

10 questions

Flashcards memory game

Flashcard

•

KG - University

10 questions

Teks Rekon (Fakta, Asumsi, Opini) Flashcard

Flashcard

•

9th Grade - University

Popular Resources on Wayground

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Comparing Fractions

Quiz

•

4th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Latin Bases claus(clois,clos, clud, clus) and ped

Quiz

•

6th - 8th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

7 questions

The Story of Books

Quiz

•

6th - 8th Grade

Discover more resources for Mathematics

8 questions

2 Step Word Problems

Quiz

•

KG - University

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Finding Area and Circumference of a Circle

Interactive video

•

6th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

15 questions

TSI Math Practice Questions

Quiz

•

8th - 12th Grade

20 questions

Systems of Equations - Substitution

Quiz

•

9th Grade