# There is a Creative Way To Solve This!

Geometry Level 2

The equation of a curve can be written as $$y=ax^2+b$$ where $$a$$ and $$b$$ are constants.

Point $$A,B$$ and $$C$$ lie on the curve.

Given that
point $$A$$ has coordinates $$(2,11)$$,
point $$B$$ has coordinates $$(0.5,3.5)$$, and
point $$C$$ lies on the $$y$$-axis.

Find the $$y$$-coordinate of the point $$C$$.

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