What is the vertex form of #y=-3x^2-2x+1#?
The vertex form is the following,
for this equation it is given by:
It is found by completing the square, see below.
Completing the square.
We begin with
First we factor the
Then we separate out a
A perfect square is in the form
if we take
We get our
This leaves us with
Now we collect the bits of our perfect square
Next we take the (-1/9) out of the bracket.
and neaten up a bit
Remember the vertex for is
or we turn the plus sign into two minus signs producing,
This is the equation in vertex form and the vertex is