Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.

A. y = -x2 + 5
B. y = -(x - 5)2
C. y = -x2 - 5
D. y = -(x + 5)2


Answer: B

Mathematics

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Find the center and the radius of the circle.(x - 5)2 + y2 = 100

A. (-5, 0), r = 100 B. (0, -5), r = 10 C. (0, 5), r = 100 D. (5, 0), r = 10

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Provide an appropriate response.Solve the system of equations using the addition method:5x + y = -3-15x - 3y = -6

A. x = 0, y = -3
B. dependent; many solutions
C. x = y = 0
D. inconsistent; no solution

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Factor the polynomial completely using grouping.4x2 + 12x + 9

A. (4x + 3)(x + 3) B. (2x - 3)(2x - 3) C. (2x + 3)(2x + 3) D. prime

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The distance d from the point (x1, y1) to the line Ax + By = C is given by the formula  Find the exact distance from the given point to the given line.(9, 7), y = 2x - 9

A.
B.
C.
D.

Mathematics