Completing the Square by Boxed Rockets

Write the following in the form ${(x + a)}^{2} + b$

x^{2} - x - 3

{(x - \frac{1}{2})}^{2} - \frac{13}{4}

x^{2} - 2 x + 2

{(x - 1)}^{2} + 1

x^{2} - 5 x + 2

{(x - \frac{5}{2})}^{2} - \frac{17}{4}

x^{2} + 5 x + 9

{(x + \frac{5}{2})}^{2} + \frac{11}{4}

x^{2} - 8 x - 5

{(x - 4)}^{2} - 21

x^{2} + 11 x + 8

{(x + \frac{11}{2})}^{2} - \frac{89}{4}