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

$y=-2x^2+bx+c$

Find the value of $$b+c$$

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