Completing the Square by Boxed Rockets

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

2 x^{2} + 5 x + 9

2 {(x + \frac{5}{4})}^{2} + \frac{47}{8}

2 x^{2} - 9 x - 3

2 {(x - \frac{9}{4})}^{2} - \frac{105}{8}

2 x^{2} - 9 x - 2

2 {(x - \frac{9}{4})}^{2} - \frac{97}{8}

5 x^{2} - 9 x - 8

5 {(x - \frac{9}{10})}^{2} - \frac{241}{20}

5 x^{2} + 6 x - 1

5 {(x + \frac{3}{5})}^{2} - \frac{14}{5}

3 x^{2} - 5 x - 6

3 {(x - \frac{5}{6})}^{2} - \frac{97}{12}