Completing the Square by Boxed Rockets

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

3 x^{2} - 2 x + 4

3 {(x - \frac{1}{3})}^{2} + \frac{11}{3}

5 x^{2} + 15 x - 1

5 {(x + \frac{3}{2})}^{2} - \frac{49}{4}

2 x^{2} + 9 x + 7

2 {(x + \frac{9}{4})}^{2} - \frac{25}{8}

2 x^{2} - 11 x - 5

2 {(x - \frac{11}{4})}^{2} - \frac{161}{8}

2 x^{2} + 2 x - 7

2 {(x + \frac{1}{2})}^{2} - \frac{15}{2}

2 x^{2} + 9 x - 9

2 {(x + \frac{9}{4})}^{2} - \frac{153}{8}