ANSWER
The vertex form is
EXPLANATION
We want to write
in the vertex form which of the form
We achieve this BG completing the square.
We proceed as follows,
We add and subtract half the coefficient of x multiplied by a factor of 3 which is
This gives us,
We still factor 3 out of the first two terms to get,
We now got a perfect square, which factors to,
The equation is now in the vertex form.
The vertex form is
EXPLANATION
We want to write
in the vertex form which of the form
We achieve this BG completing the square.
We proceed as follows,
We add and subtract half the coefficient of x multiplied by a factor of 3 which is
This gives us,
We still factor 3 out of the first two terms to get,
We now got a perfect square, which factors to,
The equation is now in the vertex form.
