Can you understand this

Hi Kallamoar,

\(y=x^2*4x-5\\ y=4x^3-5\)

\(x=2y^2*5y-59\\ x=10y^3-59\)

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I do not know what youare after but here is how you can map from one to the other

\(y=4x^3-5 \)

multiply all the y vaues by 2.5.  that means it gets vertically stretched by  a factor of 2.5

\(y=2.5(4x^3-5)\)

Now drop the whole graph by 46.5 units

\(y=2.5(4x^3-5) - 46.5\)

Now simplify the last equation

\(y=10x^3-59\)

Now reflect this last graph in the line y=x

and you get

\(x=10y^3-59\)

And that is how you can transform the graph       \(y=4x^3-5\qquad  into \qquad  x=10y^3-59\)

Cool - don't you think.   

Here is the interactive graph.  You can play with it if you want :))

https://www.desmos.com/calculator/rewl7gytts

I made a math qustion to see your guys reaction.

y=x^2*4x-5

x=2y^2*5y-59

x and y have many roots, most of them "complex". Here are just two "real" roots:

x=1.1946 and y=1.81908