Use the completing the square method rewrite f (x) = x^2-6x + 2 in vertex form

y = (x - 3) ² - 7

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

Since the coefficient of the x² term is 1

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

f (x) = x² + 2 ( - 3) x + 9 - 9 + 2

= (x - 3) ² - 7