Answer
3. It's a parabola
vertex = $(-6;0)$
Work Step by Step
$y=x^2+12x+36$
writing in vertex form $y=a(x−h)^2+k$ ,
y=$(x-(-6))^2+0$
The graph is a parabola and its opening up.
vertex : $(h;k)$
=$(-6;0)$
the graph is as below
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