The function is .
The standard form of quadratic function is .
Rewrite the 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 (Positive), hence the graph of function opens upward and has a minimum value.
The minimum 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