As given by the question
There are given that the equation
[tex]x^2+6x+14[/tex]
Now,
For the value of h and k
[tex]\begin{gathered} x^2+6x+14 \\ x^2+2\times3\times x+9+5 \end{gathered}[/tex]
Then,
[tex]\begin{gathered} x^2+2\times3\times x+9+5 \\ (x+3)^2+5 \end{gathered}[/tex]
Then,
match this equation with the given equation
[tex]\begin{gathered} (x+3)^2+5=(x-h)^2+k \\ h=-3 \\ k=5 \end{gathered}[/tex]
Hence, the correct option is B
