+0  
 
0
56
1
avatar

Find the equation of the parabolic asymptote of the graph of
\(y = \frac{2x^4 - 3}{x^2 - 4x + 1}\)

Enter your answer in the form "\(y = ax^2 + bx + c\)".

 Apr 19, 2023
 #1
avatar
+1

Dividing the numerator and denominator by x^2, we get

y = (2x^2 - 3/x^2)/(1 - 4/x + 1/x^2).

 

As x approaches infinity, this approaches y = 2x^2.  Thus, the parabolic asymptote is y = 2x^2.

 Apr 19, 2023

2 Online Users