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

For a quadratic function that opens upwards, the range is all real numbers greater than or equal to the y-coordinate of the vertex.

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

For a quadratic function that opens downwards, the range is all real numbers less than or equal to the y-coordinate of the vertex.

What is the vertex form of a quadratic function?

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

How do you determine if a quadratic function opens upwards or downwards?

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

What are the key features of the graph of a quadratic function?

Key features include the vertex, axis of symmetry, x-intercepts, y-intercept, and the direction of opening.

What is the y-intercept of a quadratic function?

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

How can you graph a quadratic function?

To graph a quadratic function, identify the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve.

What is the significance of the vertex in a quadratic function?

The vertex represents the maximum or minimum value of the function, depending on whether the parabola opens upwards or downwards.

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

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

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

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

Small Talk in Business Contexts

Flashcard

•

KG - University

12 questions

Hazard Profiles and Tectonic Hazards Flashcard

Flashcard

•

11th Grade - University

10 questions

ENGLISH

Flashcard

•

KG

10 questions

Key Terms in Cost Management

Flashcard

•

KG - University

5 questions

Cvc word game

Flashcard

•

KG - University

13 questions

Types and Components of Computer Systems

Flashcard

•

9th - 12th Grade

13 questions

Money

Flashcard

•

9th - 12th Grade

15 questions

cars

Flashcard

•

KG - University

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Box and Whisker Plots

Quiz

•

9th Grade

18 questions

Exponential Growth and Decay

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

23 questions

CCG - CH8 Polygon angles and area Review

Quiz

•

9th - 12th Grade