What transformation is represented by the function $$g(x) = (x - 6)^2 + 4$$ ?

The graph is translated right 6 units and up 4 units from the parent function $$f(x) = x^2$$ .

What does the transformation $$g(x) = |x| - 2$$ indicate?

The graph is translated down 2 units from the parent function $$f(x) = |x|$$ .

What is the effect of a horizontal translation to the right on the function $$f(x) = |x|$$ ?

The function becomes $$f(x) = |x - h|$$ , where h is the number of units translated to the right.

What does the function $$f(x) = |x + 3|$$ represent in terms of transformation?

It translates the graph of the parent function $$f(x) = |x|$$ left 3 units.

What is the transformation for the function $$g(x) = 2|x|$$ ?

It represents a vertical stretch of the parent function $$f(x) = |x|$$ by a factor of 2.

What does the negative sign in front of the absolute value in $$f(x) = -|x|$$ indicate?

It reflects the graph of the parent function $$f(x) = |x|$$ over the x-axis.

How do you identify a vertical shrink in a function?

A vertical shrink occurs when the output of the function is multiplied by a factor between 0 and 1.

What transformation does $$g(x) = |x| + 4$$ represent?

It translates the graph of the parent function $$f(x) = |x|$$ up 4 units.

What is the transformation for the function $$g(x) = |x - 4|$$ ?

It translates the graph of the parent function $$f(x) = |x|$$ right 4 units.

What does the function $$g(x) = -|x + 3| + 2$$ indicate about the transformations?

It reflects the graph over the x-axis, translates it left 3 units, and then up 2 units.

What is the general form of a transformed quadratic function?

The general form is $$g(x) = a(x - h)^2 + k$$ , where (h, k) is the vertex and 'a' determines the direction and width of the parabola.

How can you determine the direction of a parabola from its equation?

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Parent Function Transformations Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a parent function?

Back

A parent function is the simplest form of a function type, which serves as a foundation for creating more complex functions through transformations.

2.

FLASHCARD QUESTION

Front

Back

It multiplies the output of the function by 2, making the graph steeper.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

It reflects the graph over the x-axis and translates it up 3 units.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

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

Essential Statistics Concepts

Flashcard

•

12th 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

10 questions

Common Phrasal Verbs and Their Meanings

Flashcard

•

10th Grade - University

15 questions

Anatomy Review

Flashcard

•

12th Grade

9 questions

Inequalities

Flashcard

•

9th Grade

11 questions

Climate Change and Its Causes

Flashcard

•

KG

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

11 questions

How well do you know your Christmas Characters?

Lesson

•

3rd Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

20 questions

How the Grinch Stole Christmas

Quiz

•

5th Grade

Discover more resources for Mathematics

15 questions

Mock Fall Final

Quiz

•

9th - 12th Grade

23 questions

Rational Exponents and Simplifying using Exponent Properties

Quiz

•

9th - 12th Grade

12 questions

Polynomials 7-1/7-2/7-3

Lesson

•

9th - 12th Grade

13 questions

Congruent Triangle Proofs

Quiz

•

9th - 12th Grade

14 questions

Permutations and Combinations

Quiz

•

9th - 12th Grade

13 questions

Reading And Writing Numerical Expression

Quiz

•

6th - 12th Grade

11 questions

73 WarmUp: Graphing SOE/Ineqs

Quiz

•

9th - 12th Grade

19 questions

Distributive Property

Quiz

•

6th - 12th Grade