You can
put this solution on YOUR website!In order to write
in vertex form, we need to complete the square for
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Completing the Square:
Start with the given expression.
Take half of the
coefficient
to get
. In other words,
.
Now square
to get
. In other words,
Now add
and subtract
. Notice how
. So the expression is not changed.
Group the first three terms.
Factor
to get
.
So after completing the square,
transforms to
. So
.
So
is equivalent to
.
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Start with the previous equation
Rewrite
as
Place a "1" outside the parenthesis.
Now
is in vertex form
where
,
and
