What is the transformations of f (x) = (x-2) ^2-4

This is how to solve the problem: "What is the transformations of f (x) = (x-2) ^2-4"

Looking at the quadratic equation given,

f (x) = (x-2) ^2 - 4

It's like seeing product of sum and difference of two squares.

(x-2) ^2 - 4

[ (x-2) - 2 ] [ (x-2) + 2 ]

[ x - 2 - 2 ] [ x - 2 + 2 ]

[ x - 4 ] [ x ]

[ x^2 - 4x ]

So the final transformation of f (x) = (x-2) ^2 - 4 is f (x) = (x^2 - 4x).

In this way, we are able to show how a complicated equation to simple yet equal equation in quadratic form.