Answer:
(x - 6)² - 31
Explanation:
given
x² - 12x + 5
a quadratic function expressed in vertex form is
a(x - h)² + k
(h, k ) are the coordinates of the vertex and a is a multiplier
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 12x
= x² + 2(- 6)x + 36 - 36 + 5
= (x - 6)² - 31 ← in vertex form