Using the completing the square method, rewrite f(x) = x² - 6x + 2 in vertex form.

Solution:

The vertex form of the equation is given by

f(x) = a(x - h)² + k

Given, f(x) = x² - 6x + 2

Converting to vertex form,

x² - 6x + 2

= x² - 6x + 9 + 2

= (x - 3)² + 9

f(x) + 9 = (x - 3)² + 2

f(x) = (x - 3)² + 2 - 9

f(x) = (x - 3)² - 7

Therefore, the equation in vertex form is f(x) = (x - 3)² - 7.

Using the completing the square method, rewrite f(x) = x² - 6x + 2 in vertex form.

Summary:

Using the completing the square method, the equation f(x) = x² - 6x + 2 in vertex form is f(x) = (x - 3)² - 7.