Question

Complete the square to find the vertex of the parabola.

Answer 1

y = (1/4)(x - 6)² + 8

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

Answer 2

The answer would be (6,8)

Explanation:

You welcome fill in 6 then 8 .