Complete the square of the given function.
f(x) = x^2 - 6x
If f(x) = x^2 - 2x, then f(x) = (x^2 - 2x + 1) - 1 = (x - 1)^2 - 1.
I am looking for steps.
Step 1: do this
Step 2: do that, etc.
If you have an expression, say
that you need to complete the square of, consider the following:
So we wish to add a number to our expression to put it in the above form.
So equate the coefficients of the linear terms:
According to the prescription, then, we need to add an to our to make it a perfect square. But what we add on one side, we must also subtract (so we're adding a net of zero to that side), thus: