Completing the Square by Boxed Rockets

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

2 x^{2} + 7 x + 7

2 {(x + \frac{7}{4})}^{2} + \frac{7}{8}

3 x^{2} - 10 x + 1

3 {(x - \frac{5}{3})}^{2} - \frac{22}{3}

4 x^{2} + 14 x - 1

4 {(x + \frac{7}{4})}^{2} - \frac{53}{4}

4 x^{2} - 3 x + 3

4 {(x - \frac{3}{8})}^{2} + \frac{39}{16}

4 x^{2} - 14 x - 3

4 {(x - \frac{7}{4})}^{2} - \frac{61}{4}

2 x^{2} - 13 x + 4

2 {(x - \frac{13}{4})}^{2} - \frac{137}{8}