The function is .
Write the function in vertex form.
\ (Original function)
(Group
and factor, dividing by
)
(Completing 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.