Provide an appropriate response.If the points in the table lie on a parabola, write the equation whose graph is the parabola.

A. y = -3x2 + 12x - 9
B. y = -3(x + 2)2 + 3
C. y = -3(x + 2)2 - 3
D. y = 3x2 + 12x - 9


Answer: A

Mathematics

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A.  - i
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The linear programming problem has an unusual characteristic. Select a graph of the solution region for the problem and describe the unusual characteristic. Find the minimum  value of the objective function (if possible) and where it occurs. ? z = x + y ? Constraints: ?         x ? 0         y ? 0        x + y ? 1        3x + y ? 6 ?

A. ?

The constraint 3x + y ? 6 is extraneous. Minimum at (1, 1): 9


B. ?

The constraint 3x + y ? 6 is extraneous. No minimum.


C. ?

The constraint 3x + y ? 6 is extraneous. Minimum at (1, 0): 4


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The constraint 3x + y ? 6 is extraneous. Minimum at (0, 0): 0


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The constraint 3x + y ? 6 is extraneous. Minimum at (0, 1): 5


Mathematics