Book Maths Puzzle Algebra

How can I use the equation y= -2x^2+3 with the quadratic formula? Could I also use factoring?

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Book Other Question

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.
y=x2-8x+10 how do I solve and draw parabola?