The function is
.
Write the function in vertex form.
\
(Original function)
(Subtract
from each side)
(Group
and factor, dividing by
)
(Complete the square)
(Write
as a vertex form)
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
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.
Graph:
\Graph the function
.
.gif\")
Axis of symmetry is
, the parabola opens down.
Graph the function
.
.gif\")