The function is .

The standard form of quadratic function is .

Find the axis of symmetry:

Formula for the equation of the axis of symmetry:  .

The value of are substitute in the formula, .

The equation for the axis of symmetry is .

Find the vertex:

To find the vertex, use the value of equation for the axis of symmetry as the  x - coordinate of the vertex.

To find the y - coordinate, substitute the value of in the original function, .

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 (y - coordinate of the vertex) is .

Find the y-intercept:

To find the y - intercept, the value of substitute in the original function, .

The y - intercept is .

The axis of symmetry divides the parabola into two equal parts. So 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 y - value. Connect the points with a smooth curve.

The graph of the function, is