Completing the Square by Boxed Rockets

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

4 x^{2} - 14 x + 6

4 {(x - \frac{7}{4})}^{2} - \frac{25}{4}

4 x^{2} + 11 x - 7

4 {(x + \frac{11}{8})}^{2} - \frac{233}{16}

3 x^{2} + 5 x + 3

3 {(x + \frac{5}{6})}^{2} + \frac{11}{12}

4 x^{2} + 3 x - 2

4 {(x + \frac{3}{8})}^{2} - \frac{41}{16}

3 x^{2} - 7 x - 6

3 {(x - \frac{7}{6})}^{2} - \frac{121}{12}

5 x^{2} - 13 x + 8

5 {(x - \frac{13}{10})}^{2} - \frac{9}{20}