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Based on experimental data, the function T(x) = -3(x − 4)3 + 10 models the temperature of a special substance after being placed in a freezer for x minutes . The turning point of the graph marks the moment when the substance changes from a liquid to a solid. Using complete sentences in your written answer, EXPLAIN to your fellow scientists how to find the turning point of this function.
Hint: The turning point of the graph is similar to the vertex of a quadratic function.

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AnTiMaTteR23
If I assume you meant

[tex]-3(x-4)^{2}+10[/tex]

Then the answer is at 4 minutes. This is just the vertex form of the parabola which is

[tex]y=a(x-h)^{2}+k[/tex]

where (h,k) is the vertex. h = 4 so the vertex is at 4 in the x-axis, or in the context of the problem it means at 4 minutes.

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