How do you identify the transformations from the equation $$y = (x - 3)^2 + 4$$ ?

This equation represents a translation right by 3 units and up by 4 units from the parent function $$y = x^2$$ .

What does the term 'horizontal translation' refer to?

Horizontal translation refers to shifting the graph left or right. In the equation $$y = (x + h)^2$$ , the graph shifts left by $$h$$ units.

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

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

What is the standard form of a quadratic function?

The standard form of a quadratic function is $$y = ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

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 the axis of symmetry for a quadratic function?

The axis of symmetry can be found using the formula $$x = -\frac{b}{2a}$$ from the standard form $$y = ax^2 + bx + c$$ .

What is the significance of the discriminant in a quadratic equation?

The discriminant, given by $$D = b^2 - 4ac$$ , determines the nature of the roots of the quadratic equation: if $$D > 0$$ , there are two distinct real roots; if $$D = 0$$ , there is one real root; if $$D

What transformations occur in the equation $$y = -2(x + 1)^2 - 3$$ ?

This equation represents a reflection over the x-axis, a vertical stretch by a factor of 2, a translation left by 1 unit, and a translation down by 3 units.

Quadratic Transformations Review 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 coefficient 'a' in a quadratic function determine?

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

10 questions

Aparato Respiratorio

Flashcard

•

KG

10 questions

Unit 3 Vocabulary

Flashcard

•

9th - 12th Grade

13 questions

7517 03 Basic Operations in Programming Languages

Flashcard

•

9th Grade - University

12 questions

Legal Writing Memo Flashcard

Flashcard

•

KG - University

14 questions

CADEIA ALIMENTAR

Flashcard

•

KG

15 questions

Water Cycle

Flashcard

•

8th Grade - University

15 questions

Understanding SMART Goals Components

Flashcard

•

8th Grade - University

10 questions

English 10 (Final Round)

Flashcard

•

10th Grade

Popular Resources on Wayground

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

Discover more resources for Mathematics

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

20 questions

Triangle Congruence Theorems

Quiz

•

9th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

15 questions

Graphing Systems of Equations

Quiz

•

8th - 9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

14 questions

Model and Solve Linear Equations

Quiz

•

9th - 12th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade