Question

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

A. h=6, k=36
B. h=−6, k=−36
C. h=6, k=30
D h=−6, k=−30

Answer 1

the answer is D. h=−6, k=−30

Explanation:

I got it right thanks to the person who answered first

Answer 2

D h=−6, k=−30

Explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

`f(x)=a(x-h)^(2)+k`

where

a is a coefficient

(h,k) is the vertex

we have

`f)x)=x^(2) +12x+6`

Convert to vertex form

Complete the square

`f)x)-6=x^(2) +12x`

`f)x)-6+36=(x^(2) +12x+36)`

`f)x)+30=(x^(2) +12x+36)`

`f)x)+30=(x+6)^(2)`

`f)x)=(x+6)^(2)-30` -----> equation in vertex form

therefore

The vertex is the point (-6,-30)

h=-6, k=-30