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natewelch353
26.08.2019 •
Mathematics
In the function y=-1/2(x-1)^2+3 what effect does the negative sign have
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Ответ:
Explanation:
The vertex form of a parabola is y = A (x - h)² + k.
The values of A, h, and k means the following:
A > 0 the parabola opens upward and the vertex is a minimum,A < 0 the parabola opens downward and the vertex is a maximum.A cannot be equal to zero.| A | > 0 the parabola is stretched vertically.| A | < 0 the parabola is compressed vertically. The vertex of the function is the point (h, k).So, for the given function you have:
A = - 1/2, so the parabola opens downward and the vertex is the maximum.Also, since |A| < 1 means that the parabola is compressed vertically.The vertex is (1, 3), so the maximum of the function is 3 and it happens at x = 1.Ответ:
xroot2, x = 1, 1+sqrt(2)
Step-by-step explanation: