What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2? Group of answer choices

graph with vertical asymptote of x equals negative 2, and oblique asymptote of y equals negative x

graph with vertical asymptote of x equals 2, and oblique asymptote of y equals x

graph with vertical asymptote of x equals 2, and oblique asymptote of y equals negative x minus 4

graph with vertical asymptote of x equals 5, and oblique asymptote of y equals negative x minus 4

Given:

The function is

To find:

The vertical asymptote and oblique asymptote.

Solution:

We have,

To find vertical asymptote, equate denominator equal to 0.

So, the vertical asymptote is .

In the given function degree of numerator is greater than denominator so, their is an oblique asymptote. To find oblique asymptote divide the numerator by denominator.

Dividing by using synthetic division, we get

2 |  1   -2    -2

          2     0

--------------------------

     1    0    -2

-------------------------

Here, starting elements of bottom row represent coefficient of quotient and last element of bottom row represents the remainder.

Since, quotient is x, therefore, the oblique asymptote is .

Therefore, the correct option is B.

homozygous. one is homozygous, while two is heterozygous.