The minimum of this graph is the focus of the parabola. I'm not sure with the maximum though but I think it doesn't have a maximum because the y value of the parabola will extend infinitely upward.
Its a reflection over an x-axis, whats "positive" goes "negative" and whats "negative" goes "positive" with respect to y.
If a shape is a subset (made of of quadrants then the part that lies in the second quadrant gets mapped to and part that lies in third quadrant gets mapped to