Question

Determine the values of H and K for the following:x^2 + 6x + 14 = (x - h)^2 + k

Answer 1

As given by the question

There are given that the equation

$x^2+6x+14$

Now,

For the value of h and k

$\begin{gathered} x^2+6x+14 \\ x^2+2\times3\times x+9+5 \end{gathered}$

Then,

$\begin{gathered} x^2+2\times3\times x+9+5 \\ (x+3)^2+5 \end{gathered}$

Then,

match this equation with the given equation

$\begin{gathered} (x+3)^2+5=(x-h)^2+k \\ h=-3 \\ k=5 \end{gathered}$

Hence, the correct option is B