Frozen: It's Coronation Day!

Algebra Level 2

When Anna realises that it is Coronation day she starts singing and fantasising about meeting "the one". Then she starts dancing with a head and accidentally lets go and throws the head across the room onto a cake.

If Anna is at point (5,0)(5,0) on the cartesian co-ordinate plane and the cake is at (3,0)(-3,0), the flight path of the head can be described by the equation:

y=2x2+bx+cy=-2x^2+bx+c

Find the value of b+cb+c

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