What does the graph of $$y = \text{sqrt}(x)$$ look like?

The graph of $$y = \text{sqrt}(x)$$ starts at the origin (0,0) and increases gradually to the right.

What is the effect of changing the input of the square root function?

Changing the input affects the horizontal position of the graph. For example, $$y = \text{sqrt}(x - 4)$$ shifts the graph to the right by 4.

What is the parent function of the cube root?

The parent function is the cube root function, represented as $$y = \text{cbrt}(x)$$ .

What is the domain of the cube root function?

The domain is all real numbers, x ∈ ℝ.

What is the range of the cube root function?

The range is all real numbers, y ∈ ℝ.

How do you match an equation to its graph?

You analyze the transformations and shifts in the equation to determine how it modifies the parent function's graph.

What is the equation for a vertical shift of the cube root function?

A vertical shift can be represented as $$y = \text{cbrt}(x) + k$$ , where k is the shift amount.

What is the equation for a horizontal shift of the cube root function?

A horizontal shift can be represented as $$y = \text{cbrt}(x - h)$$ , where h is the shift amount.

What is the difference between square root and cube root functions?

Square root functions have a domain of x ≥ 0, while cube root functions have a domain of all real numbers.

HW 4.6 Square and Cube Root Graphs Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the parent function of the square root?

Back

2.

FLASHCARD QUESTION

Front

What is the equation for the cube root function?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

The domain is x ≥ 0.

5.

FLASHCARD QUESTION

Front

Back

The range is y ≥ 0.

6.

FLASHCARD QUESTION

Front

What is the effect of adding a constant to the square root function?

Back

7.

FLASHCARD QUESTION

Front

What is the effect of subtracting a constant from the square root 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

10 questions

Animal Names and Vocabulary

Flashcard

•

3rd Grade - University

10 questions

Evolve 2 Unit - 8 Flashcard - 1

Flashcard

•

University

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

10 questions

Contestability in History

Flashcard

•

8th Grade

11 questions

Identify Parts of an Algebraic Expression and Evaluate

Flashcard

•

9th Grade

12 questions

2025 WPN M7: HBL 1: Rounding Off (1) flashcard

Flashcard

•

4th Grade

13 questions

Quadrilateral Properties

Flashcard

•

5th Grade

Popular Resources on Wayground

7 questions

History of Valentine's Day

Interactive video

•

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

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

15 questions

Valentine's Day Trivia

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

10 questions

Add & Subtract Mixed Numbers with Like Denominators

Quiz

•

KG - University

10 questions

2D & 3D Shapes

Quiz

•

KG

15 questions

Simple Patterns AB, ABB, ABC

Quiz

•

KG - 1st Grade

15 questions

Single digit addition and subtraction

Quiz

•

KG - 1st Grade

12 questions

Attributes of Shapes

Quiz

•

KG - 2nd Grade

16 questions

Parallel, Perpendicular, and Intersecting Lines

Quiz

•

KG - Professional Dev...

10 questions

Reading Picture Graphs

Quiz

•

KG - 1st Grade

16 questions

3D Shapes

Quiz

•

KG - 1st Grade