Completing the Square by Boxed Rockets

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

3 x^{2} - 6 x + 8

3 {(x - 1)}^{2} + 5

5 x^{2} + 13 x - 9

5 {(x + \frac{13}{10})}^{2} - \frac{349}{20}

5 x^{2} - 5 x - 7

5 {(x - \frac{1}{2})}^{2} - \frac{33}{4}

5 x^{2} + 6 x + 9

5 {(x + \frac{3}{5})}^{2} + \frac{36}{5}

3 x^{2} + x - 7

3 {(x + \frac{1}{6})}^{2} - \frac{85}{12}

2 x^{2} - x + 8

2 {(x - \frac{1}{4})}^{2} + \frac{63}{8}