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

D h=−6, k=−30

Step-by-step explanation:

we know that

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

where

a is a coefficient

(h,k) is the vertex

we have

Convert to vertex form

Complete the square

-----> equation in vertex form

therefore

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

h=-6, k=-30

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2