Remember that the vertex form of a parabola is where
is the vertex of the parabola.
Now, to find the vertex of the parabola, we are going to use the vertex formula:
For a quadratic of the form , the vertex
is given by:
in other words, we find
by evaluating the function at
We know form our quadratic that and
, so let's use our formula to find
:
Now we can evaluate our function at to find
:
Now, we can rewrite our parabola in vertex form:
,
, and
We can conclude that the correct answer is: y = 6(x + 1)2 โ 16