exam Maths Puzzle Numerical Ability

I am needing to find a real-life application of a quadratic function. I cannot use any version of projectile motion. I am having a really difficult time with this someone please please help

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exam Other Question

Find the axis of symmetry.
y = -x^2 - 2x + 8
How do I start a proof with no other information but the given statement? Any guidance or references to other sites would be helpful.

Thanks