Let $\displaystyle f(x) = \frac{x^{2}}{\left(x-2\right)^{2}}.$ Answer the following questions.

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1. Find the vertical asymptote(s) of $f.$
Answer (separate by commas): $x =$

2. Find the horizontal asymptote(s) of $f.$
Answer (separate by commas): $y =$

3. Find the interval(s) on which $f$ is increasing.
Answer (in interval notation):

4. Find the interval(s) on which $f$ is decreasing.
Answer (in interval notation):

5. Find the local maxima of $f.$ List your answers as points in the form $(a,b)$.
Answer (separate by commas):

6. Find the local minima of $f.$ List your answers as points in the form $(a,b)$.
Answer (separate by commas):

7. Find the interval(s) on which $f$ is concave upward.
Answer (in interval notation):

8. Find the interval(s) on which $f$ is concave downward.
Answer (in interval notation):

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