Rotating y=x² by 90 degrees without inverse functions

[mesa]

Okay I need to rotate a parabola on a cartesian coordinate system, y=x^2 by 90 degrees about the origin (either direction) without using piecewise, or inverse functions. Basically I am trying to use translations and deformations to accomplish this.

Anyone thoughts?

 

[Number Nine]

https://www.physicsforums.com/showthread.php?t=633787

 

[mesa]

https://www.physicsforums.com/showthread.php?t=633787

The text for the equations isn't coming up properly, it just says "Math Processing Error"

 

[Number Nine]

Looks fine to me.

How much experience do you have with linear algebra? Consider a rotation matrix; can you think of a way to it use to transform your parabola? Maybe try representing your function parametrically.

 

[mesa]

Looks fine to me.

How much experience do you have with linear algebra? Consider a rotation matrix; can you think of a way to it use to transform your parabola? Maybe try representing your function parametrically.

It just started working, I can see it now.

Not familiar with this, is there a non calculus solution?