Lesson 3 Transformations of Cubic and Cube root functions

Presentation

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Mathematics

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9th - 12th Grade

•

Practice Problem

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Easy

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CCSS

HSF-IF.C.7B, HSF.BF.B.3, 8.EE.C.7B

Standards-aligned

Anastasia Avila

Used 19+ times

FREE Resource

13 Slides • 9 Questions

We will analyze transformations to cubic and cube root functions.
I will summarize transformations to both cubic and cube root functions.
2A.6A

Cubic and Cube root Transformations

Dropdown

x-intercept:

y-intercept:

Domain & Range:

Min/Max:

Word Cloud

Summarize in one word what we LOOKED at in Lessons 1 and 2...

Type response here

The parent functions pictured above, before any transformations have been applied!

Parent Functions

Match

Match the following graphs/information to their equations.

$f(x)=x^3$

$f(x)=\sqrt[3]{x}$

Both functions

The table shows where INSIDE the function, each transformation happens and what the value does to the corresponding graph.

Transformations applied

Labelling

Label the image with the correct descriptions that correspond to what you would want to change in the graph. If I wanted the graph to...

Drag labels to their correct position on the image

Move left

Flip vertically

Move down

Flip Horizontally

Fill in your notes for these examples :)

Open Ended

Comparing the two functions side by side, are the transformations different? Why or why not?

Type response here

Fill in your notes for these examples :)

Fill in the Blanks

Type answer...

Fill in your notes for these examples :)

Multiple Choice

The correct equation for example 7 is...

$f\left(x\right)=-3\left(x-5\right)^3-7$

$f\left(x\right)=\left(-3x-5\right)^3-7$

$f\left(x\right)=-3\left(x+5\right)^3-7$

$f\left(x\right)=\left(-3x+5\right)^3-7$

Fill in your notes for these examples :)

Multiple Choice

The correct equation for example 8 is...

$f\left(x\right)=\frac{2}{3}\sqrt[3]{-\left(x+5\right)}+1$

$f\left(x\right)=-\frac{2}{3}\sqrt[3]{x+5}+1$

$f\left(x\right)=\frac{2}{3}\sqrt[3]{-\left(x-5\right)}+1$

$f\left(x\right)=\frac{2}{3}\sqrt[3]{-\left(x+5\right)}-1$

Fill in your notes for these examples :)

Poll

On a scale of 1-5, how comfortable are you with Transformations?

5 - Totally agree I can replicate this in my sleep

4 - I am confident I understand this

3 - I might need some more practice but overall feel good

2 - I definitely need more practice and maybe some clarification...

1 - Help... I'm lost :(

We will analyze transformations to cubic and cube root functions.
I will summarize transformations to both cubic and cube root functions.
2A.6A

Cubic and Cube root Transformations

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