Package of problems

Given that two of the parabolas have the equations $y = x^2 - 12x + 27$ and $y = -x^2 + 12x - 36,$ can you find the equations of the other parabolas?
What is the difference between the graphs of $y=x^2+bx+c$ and y=$-x^2-bx-c$? Can you spot any graphs in the picture that might satisfy such a relation?
If you know that a graph has equation $y=ax^2+bx+c$, what is the equation of its reflection in the $y$-axis?