Algebra-2

Question Analysis
This problem evaluates the ability to determine the horizontal asymptote of a rational function by comparing the degrees of the numerator and the denominator.

Key Concept Explanation
The horizontal asymptote of a rational function depends on the degrees of the polynomials in the numerator and the denominator. If the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients.

Step-by-step Solution
1. Identify the degrees of the numerator and the denominator: both are degree 2.
2. Compare the leading coefficients: the leading coefficient of the numerator is 4, and the leading coefficient of the denominator is 2.
3. The horizontal asymptote is given by the ratio of the leading coefficients:

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