Answer:
y = (1/4)(x - 6)² + 8
Step-by-step explanation:
x² - 4y - 12x + 68 = 0
put in standard form
-4y = -x² + 12x - 68
4y = x² - 12x + 68
y = (1/4)(x² - 12x + 68)
use 1/2 the x coefficent, (-12/2 = -6), as the complete the square term
y = (1/4)(x - 6)² + 68/4 - (1/4)(-6)²
y = (1/4)(x - 6)² + 17 -9
y = (1/4)(x - 6)² + 8
