Find the equation of the parabolic asymptote of the graph of
I used long division and got 2x^2+8x+30 but that wasn't right do I have to account for the remainder as well?
I assume this is what is wanted.
\(y=\frac{2x^2-3}{x^2-4x+1}=2x^2+8x+30+\frac{112x-33}{x^2-4x+1}\\~\\~\\ \displaystyle\lim_{x\rightarrow\pm\infty}y=2x^2+8x+30\)
Here is the graph:
https://www.desmos.com/calculator/hjkeir8rpl
Edit:
Sorry, I see you think that is not correct. It looks right to me.