Question

Which values for h and k are used to write the function f(x)

x
+ 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
Oh=6, k=30
h=-6, k=-30

Answer 1

Dh= - 6,k= - 30 hope this helps

Answer 2

Option 2 - The values of h=-6 and k=-30.

Explanation:

Given : Function
`f(x)=x^2+12x+6`

To find : Which values for h and k are used to write the function f(x) in vertex form?

Solution :

Writing the function in vertex form,
`y=a(x-h)^2+k`

`y=x^2+12x+6`

Using the method of completing the square,

`y=(x^2+2* 6* x+6^2)+6-6^2`

`y=(x+6)^2-30`

On comparing to vertex form,

a=1, h=-6 and k=-30

Therefore, the values of h=-6 and k=-30.