Question

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

Answer 1

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)