Book Maths Puzzle Co-ordinate geometry

y = -3x(squared)
I need to find out the vertex, roots, if opens upward or downward, different points in order to graph parabola, and using the quadratic equation for something.

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Book Other Question
In three years, Chad will be three times my present age. I will then be half as old as he. How old am I now? How can I use the equation y= -2x^2+3 with the quadratic formula? Could I also use factoring?