Step-by-step explanation:
Make f(x) = 0
[tex] {x}^{2} + 6x + 11 = 0[/tex]
[tex] {x}^{2} + 6x = - 11[/tex]
[tex]( \frac{6}{2} ) ^{2} = 3 ^{2} = 9[/tex]
[tex] {x}^{2} + 6x + 9 = - 11 + 9[/tex]
(x+3)²= -2
(x+3)²+2= 0
f(x)= (x+3)²+2
Which is the f(x) in graphing form.