Rewrite ³√27x - 81 - 5 to make it easy to graph using a translation. Describe the graph. I am not sure where to start.......

Question

Rewrite ³√27x - 81 - 5 to make it easy to graph using a translation. Describe the graph.  I am not sure where to start.......

haleyelizabeth2017 · Answer

$$\sqrt[3]{27x-81}-5$$

haleyelizabeth2017 · Answer

@confluxepic are you available right now to help me out? lol I can't remember for the life of me haha yeah....

confluxepic · Answer

Hold on. Oregon teaches different things than Texas. I am learning this right now. I will be back in 5 minutes with full understanding of this specific question.

haleyelizabeth2017 · Answer

okay thank you so much!

confluxepic · Answer

First you do -81-5 so it will become -86.

haleyelizabeth2017 · Answer

but wouldn't it have to be the cube root of -81 first? because the cube root is for both the 27x as well as the -81.......This stuff if confusing as heck :/

confluxepic · Answer

Cubed root of 27 would be 3 but I am not sue what to do with x. And yes. Cubed rot of -81 is better.

confluxepic · Answer

But you can't root a negative number.

haleyelizabeth2017 · Answer

true....

confluxepic · Answer

Then i will have to come in.
$$i=\sqrt{-1}$$

haleyelizabeth2017 · Answer

okie dokie........I am not liking math right now..... :/ just plain confusing

confluxepic · Answer

@TheSmartOne know more about i.

haleyelizabeth2017 · Answer

okay

confluxepic · Answer

https://www.desmos.com/calculator/nwlqj0uz7u

haleyelizabeth2017 · Answer

Sadly, I have to show work to rewrite it :(

haleyelizabeth2017 · Answer

@satellite73 might be able to help

confluxepic · Answer

http://math.stackexchange.com/questions/25528/cubic-root-of-negative-numbers

confluxepic · Answer

http://www.mathsisfun.com/numbers/cube-root.html

confluxepic · Answer

$$\sqrt[3]{-81}=-4.32674871092$$

confluxepic · Answer

@haleyelizabeth2017 
We skipped out on one fact. It is cubed root not square root so it is possible for a negative number to be cubed rooted.

haleyelizabeth2017 · Answer

okay......thats what I thought because it worked in my calc lol

haleyelizabeth2017 · Answer

we need to factor....just looked it up lol

haleyelizabeth2017 · Answer

so it will be $$3\sqrt[3]{(x-3)}-5$$ and the graph is:
-3 = Horizontal shift (To the right).
-5 = Vertical shift (Down five units).

confluxepic · Answer

Oh. You factored it. Never thought about that.

haleyelizabeth2017 · Answer

lol thank you for trying to help :)

confluxepic · Answer

You're welcome. I am sure we both learned from this.

haleyelizabeth2017 · Answer

lol yeppers