The function $y=\frac{-2x^2}{(x2)(x-3)}$ has derivative $y^{\text{'}}=\frac{2x(x12)}{(x2{)}^2(x-3{)}^2}$

Determine Determine $...$

$($a$)$ An equation for the Tangent to the graph of $y$ at $x=-1$

$($b$)$ The locations and types of the Vertical Asymptotes of $y$

$5$ points

$($e$)$ The location and type of the Horizontal Asymptote of $y$

$($d$)$ The tocations $($just the $x-$values$)$ and types of the Stationary Points of $y$

Display and label the complete Sign$-$Chart$($s$)$ that you used; denote the types naing the numbering on the attached Thpe$-$Diagrams page.