Does squaring a function affect the asymptotes?

Question

For example, if you square the function 1 over x + 3 does it change the asymptotes that were y = 0 and x = -3?

Thank you!

Answer 1

This kind of question is best tackled with explorative tools such as Desmos.

Go to
https://www.desmos.com/calculator

then type in
1/(x+3) [enter]
1/(x+3)^2 [enter]
You will see the effect of squaring (blue curve) on the original (red curve).

Experiment with other functions and enjoy. An image is worth a thousand words.