[Steps Shown] Answer the questions below. You do not need to show work. A family of functions is given by r(x)=(1)/(x^2-2 a x+16) For what value(s) of a

Question: Answer the questions below. You do not need to show work. A family of functions is given by

\[r(x)=\frac{1}{x^{2}-2 a x+16}\]

For what value(s) of $a$ does the graph of $r(x)$ have exactly one vertical asymptote? Where is the vertical asymptote in this case?
For what value(s) of $a$ does the graph of $r(x)$ have two vertical asymptotes? Where are the vertical asymptotes in this case?
Find the value(s) of $a$ so that the function $r$ has a local maximum at the point $x=3 .$
Sketch the graphs of $r$ for the parameters $a=4$ and $a=5$ in the coordinate systems below.

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[Steps Shown] Answer the questions below. You do not need to show work. A family of functions is given by r(x)=(1)/(x^2-2 a x+16) For what value(s) of a

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