Find the coordinates of the vertex and the direction of opening of each parabola.y = (x + 1)2 + 1

A. (0, 1) opens downward
B. (-1, 1) opens upward
C. (-1, -1) opens upward
D. (1, 0) opens downward


Answer: B

Mathematics

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Find the equation of the normal line to the indicated curve at the given point.y = 4x - 2x2 at (-4, -48)

A. y = 
B. y = 
C. y = 
D. y = 

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Factor.81k2 - 16m2

A. (9k + 4m)(9k - 4m) B. (9k + 4m)2 C. 81k2 - 16m2 D. (9k - 4m)2

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Factor.20x3 + 31x2 + 12x

A. x(4x - 3)(5x - 4) B. x(4x + 3)(5x + 4) C. x(20x + 1)(x + 12) D. (20x2 + 3)(x + 4)

Mathematics

Evaluate the expression using the given values.x = -5, y = 7

A. -2 B. -12 C. 12 D. 2

Mathematics