Which equation and ordered pair represent the correct vertex form and vertex for j (x) = x2 - 12x + 7?

We have the following equation:

j (x) = x2 - 12x + 7

We match zero:

x2 - 12x + 7 = 0

We pass the constant term to the right:

x2 - 12x = - 7

We complete square:

(b / 2) ^ 2 = (-12/2) ^ 2 = (-6) ^ 2 = 36

x2 - 12x + 36 = - 7 + 36

x2 - 12x + 36 = 29

The equation in the form of vertex is:

(x-6) ^ 2 = 29

The vertice is:

(6, - 29)

Answer:

the correct vertex form is:

(x-6) ^ 2 = 29

the vertex is:

(6, - 29)