The function is
.
Write the function in vertex form.
\
(Original function)
(Rewrite the function)
(Group
and factor, dividing by
)
(Complete the square)
(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 positive, so the parabola opens up.
Vertex form of the function
and axis of symmetry is
, the parabola opens up.