Answer
See graph
Work Step by Step
$$y=x^2+12x+36$$
$$y=(x+6)^2$$
This is a parabola with vertex (-6,0). Plug in x-values to find their corresponding y-values.
$$y=(-3+6)^2$$
$$y=9$$
$$(-3,9)$$
$$y=(-5+6)^2$$
$$y=1$$
$$(-5,1)$$
Plot these points and connect with a smooth curve.