Finding the rule for a quadratic function with highest point $(6,30)$ and that passes through $(2, 28.4)$

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How can I find the rule of this function?

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If the vertex is $(6,30)$, then the equation will be $y=30-a(x-6)^2$ for some $a>0$.

Can you now solve for $a$ knowing that $(2,28.4)$ is another point on the parabola?