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

Answer:

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

Step-by-step 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,

$y=(x^2+2\times 6\times x+6^2)+6-6^2$

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

On comparing to vertex form,

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

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