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 "\(y = ax^2 + bx + c\)".
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.
