Answer:
option (3)
Explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 12x + 7
Using the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² - 12x
f(x) = x² + 2(- 6)x + 36 - 36 + 7
= (x - 6)² - 29
with vertex (h, k ) = (6, - 29 )