c. 9
To complete the square, you take half of the coefficient of b and square it. It's important to note that the value being added will always be positive.
[tex] {ax}^{2} + bx + c[/tex]
[tex]b = - 6[/tex]
[tex] - 6 \div 2 = - 3[/tex]
[tex] = {( - 3)}^{2} [/tex]
[tex] = 9[/tex]