Using the completing-the-square method, rewrite f(x) = x² - 8x + 3 in vertex form.

Solution:

The vertex form of the equation is given by

f(x) = a(x - h)²+k

Given, f(x) = x² - 8x + 3

Converting to vertex form,

x² - 8x + 3 = x² - 8x + 3 + 16 - 16

It can be written as

f(x) + 16 = (x - 4)² + 3

So we get

f(x) =  (x- 4)² + 3 - 16

f(x) =  (x - 4)² - 13

Therefore, the equation in vertex form is  f(x) = (x - 4)²- 13.

Using the completing-the-square method, rewrite f(x) = x² - 8x + 3 in vertex form.

Summary:

Using  the completing the square method, the equation f(x) = x² - 8x + 3 in vertex form is f(x) = (x - 4)² - 13.