Question

What is the vertex form of y=x^2-6x+6

Answer 1

$y=x^2-6x+6\\y=x^2-6x+9-3\\y=(x-3)^2-3$

Answer 2

Answer:

y = (x - 3)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² - 6x

Given

y = x² - 6x + 6

  = x² + 2(- 3)x + 9 - 9 + 6

  = (x - 3)² - 3 ← in vertex form