a. The given equation is [tex]x^2+12x+11[/tex].
We will add and subtract 36 with the equation to get the desired form.
[tex]x^2+12x+11\\=(x^2+12x+36)+11-36\\=(x+6)^2-25[/tex]
b. So the vertex is (-6, -25). This is the turning point.
Find out more information about the vertex here: https://brainly.com/question/17637978