6.8 - Graph Radical Functions

Presentation

•

Mathematics

•

8th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7B, HSF.BF.B.3, 8.F.A.1

Standards-aligned

Steve Dull

Used 18+ times

FREE Resource

11 Slides • 6 Questions

6.8 - Graph Radical Functions

Objectives:

To graph radical funtions
To transform radical functions

Inverse functions

You may recall that you can write an inverse of a function by exchanging the x and y in the equation.

The resulting graph will be reflected about the line y=x.

Radical functions

Open Ended

Following (0, 0), (1, 1), and (4, 2), what is the next data point in the function we just saw graphed?

Type response here

Multiple Choice

Graph the function $f\left(x\right)\ =\ \sqrt{x+1}$

Open Ended

What did you notice about the graph of $f\left(x\right)=\sqrt{x+1}$ ? What did you wonder?

Type response here

You probably recognize that square root functions follow pretty much the same transformation rules as the other functions we've studied, especially regarding the h, k, and a values.

Multiple Choice

Describe the transformation of the graph of $f\left(x\right)=\sqrt{x}-2$ compared to the parent function $f\left(x\right)=\sqrt{x}$

Translated 2 units left

Translated 2 units right

Translated 2 units down

Translated 2 units up

Multiple Choice

Write the equation of a square root function that has been translated left 3 units, stretched vertically by a factor of 2, and reflected across the x-axis.

$f\left(x\right)=-2\sqrt{x-3}$

$f\left(x\right)=-2\sqrt{x}+3$

$f\left(x\right)=-3\sqrt{x-2}$

$f\left(x\right)=-2\sqrt{x+3}$

Poll

Select the image that most closely reflects how you feel you can graph radical functions and identify transformations of radical functions:

Great work!

Continue to work on the items on the notes page.

6.8 - Graph Radical Functions

Show answer

Auto Play

Slide 1 / 17

SLIDE

Similar Resources on Wayground

13 questions

slope

Presentation

•

9th - 12th Grade

13 questions

Linear Transformations

Presentation

•

8th - 11th Grade

13 questions

6.4/6.5 Triangle Similarity by AA, SSS, and SAS

Presentation

•

8th - 11th Grade

14 questions

Classifying Triangles

Presentation

•

10th Grade

13 questions

Scale Factors

Presentation

•

8th - 10th Grade

13 questions

Solving Systems of Equations by Graphing

Presentation

•

8th - 10th Grade

14 questions

Function Notation

Presentation

•

8th - 10th Grade

12 questions

Midpoint

Presentation

•

9th - 12th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

20 questions

Rational and Irrational Numbers

Quiz

•

8th Grade

20 questions

Add and Subtract Integers

Quiz

•

6th - 8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

15 questions

Adding and Subtracting Integers

Quiz

•

6th - 8th Grade

20 questions

Proportional vs. Non-Proportional

Quiz

•

8th Grade

12 questions

Absolute Value Equations

Quiz

•

9th Grade

14 questions

finding slope from a graph

Quiz

•

8th Grade

24 questions

Explore Rigid Transformations and Congruence

Quiz

•

8th Grade