Question

Which values for h and k are used to write the function f(x) = x^2 + 12x + 6 in vertex form?

Answer 1

Answer: The answer is h=-6, k=-30

(h,k) = (-6,-30)

Step-by-step explanation:

Answer 2

Answer:

The vertex is (-6,-30).

The vertex is usually written as (h,k) in most American schools I think.[

So h=-6 and k=-30.

Step-by-step explanation:

The given is in standard form, $y=ax^2+bx+c$, where $a=1$,$b=12,$, and $c=6$.

There is a formula for computing the vertex while the given is in standard form which is:

$(\frac{-b}{2a},f(-\frac{-b}{2a})}$.

So let's start with the x-coordinate there:

$\frac{-b}{2a}=\frac{-12}{2(1}}=\frac{-12}{2}=-6$.

Now the y-coordinate of the vertex can be found by replacing your x's in:

$y=x^2+12x+6$ with -6.

$y=(-6)^2+12(-6)+6$

$y=36-72+6$

$y=-36+6$

$y=-30$