What effect does changing the value of $$a$$ have on the graph of a quadratic function?

Changing the value of $$a$$ affects the width and direction of the parabola. If $$|a| > 1$$ , the parabola is narrower; if $$|a|

How does a negative coefficient affect the graph of a quadratic function?

A negative coefficient for $$a$$ reflects the graph of the quadratic function over the x-axis, causing it to open downwards.

What is the significance of the y-intercept in a quadratic function?

The y-intercept is the point where the graph intersects the y-axis, found by evaluating the function at $$x = 0$$ , which gives $$f(0) = c$$ .

What is the relationship between the roots of a quadratic function and its graph?

The roots (or zeros) of a quadratic function are the x-values where the graph intersects the x-axis. They can be found using factoring, completing the square, or the quadratic formula.

What is the quadratic formula?

The quadratic formula is used to find the roots of a quadratic equation and is given by $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What does it mean for a quadratic function to be 'stretched' or 'compressed'?

A quadratic function is 'stretched' when the absolute value of $$a$$ is greater than 1, making the parabola narrower. It is 'compressed' when the absolute value of $$a$$ is less than 1, making the parabola wider.

How do you determine the direction in which a parabola opens?

The direction in which a parabola opens is determined by the sign of the coefficient $$a$$ : if $$a > 0$$ , it opens upwards; if $$a

What is the effect of adding a constant to a quadratic function?

Adding a constant to a quadratic function translates the graph vertically. For example, $$f(x) = x^2 + k$$ shifts the graph up by $$k$$ units if $$k > 0$$ and down if $$k

What is the relationship between the vertex form and standard form of a quadratic function?

The vertex form of a quadratic function is $$f(x) = a(x - h)^2 + k$$ , where (h, k) is the vertex. The standard form is $$f(x) = ax^2 + bx + c$$ . You can convert between the two forms using completing the square.

5.1 Attributes & Transformations 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 does the graph of a quadratic function look like?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

4.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic function?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What does it mean to translate a quadratic function?

Back

7.

FLASHCARD QUESTION

Front

What is a dilation in the context of quadratic functions?

Back

A dilation changes the size of the graph of a function. A vertical dilation occurs when the function is multiplied by a factor, affecting the steepness of the parabola.

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

Climate Change and Its Causes

Flashcard

•

KG

9 questions

Flashcards de Educação Física

Flashcard

•

11th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

10 questions

Tableau périodique, atome Rutherford-Bohr, octet II

Flashcard

•

11th Grade

10 questions

R2.3 How Far? Le Chatelier's Principle

Flashcard

•

12th Grade

10 questions

High Note 2. Unit 1. Test your vocabulary

Flashcard

•

10th Grade

11 questions

Memoriter_1

Flashcard

•

12th Grade

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

23 questions

8th grade math unit 5B Perfect Squares and Cubes

Quiz

•

6th - 12th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Quadratic Regression Practice

Quiz

•

7th - 12th Grade

20 questions

Triangle Congruence Statements Quiz

Quiz

•

9th - 12th Grade

20 questions

5.1 Characteristics of Exponential Functions Lesson Check

Quiz

•

9th - 12th Grade

10 questions

Solving two-step equations

Quiz

•

7th - 12th Grade