The function is
.
Write the function in vertex form.
\
(Original function)
(Rewrite the function)
(Group
and factor, dividing by
)
(Use Completing the squares method)
(Write
as a perfect square)
Find the vertex, axis symmetry and direction of opening.
\The vertex form of a parabola is
\
where
is the vertex,
is the axis of symmetry and a determines the shape of the parabola and the direction in which it opens.
\
So, the vertex is
.
The equation of axis of symmetry is
.
The value of
is negative, so the parabola opens down.
Vertex form of the function
and axis of symmetry is
, the parabola opens down.