The function is
.
The standard form of quadratic function is
.
Find the axis of symmetry:
\Formula for the equation of the axis of symmetry is
.
(Substitute
and
in the formula)

The equation for the axis of symmetry is
.
Find the vertex:
\Find the vertex, use the value of equation for the axis of symmetry as the
- coordinate of the vertex.
Find the
- coordinate:
(Original equation)
(Substitute
in the original equation)

The vertex point is
.
Determine whether the function has maximum or minimum value:
\The value of
(Negative), so the graph of function opens downward and has a maximum value. The maximum value is
.
Find the
-intercept:
(Original equation)
(Substitute
in the original equation)

The
-intercept is
.
The axis of symmetry divides the parabola into two equal parts.
\If there is a point on one side, there is a corresponding point on the other side that is the same distance from the axis of symmetry and has the same
- value.
Connect the points with a smooth curve.
\
The graph of the function,
is
