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In-s [12.5K]
3 years ago
6

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.
Mathematics
1 answer:
zysi [14]3 years ago
5 0
If I assume you meant

-3(x-4)^{2}+10

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

y=a(x-h)^{2}+k

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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