You need to translate your functional notation into vertex form. The graph will be a parabola opening downward.
Complete the square:
This tells you that the vertex of your parabola is at
Set f(x) = 0 to find your x intercepts. Use your original function.
Notice, since x = 0, f(0) = 0, thus the y-intercept is 0.
The domain will be all real numbers. There are no restrictions on x.
The range will be
The maximum value will occur at the vertex where .
There is no minimum.
The axis of symmetry is . This is a vertical line which passes through the vertex.