Provide the proper response.For the graph of y = x2, in what direction does the parabola open if c > 0?

A. upward
B. to the left
C. to the right
D. downward


Answer: A

Mathematics

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Find the vertex, the focus, and the directrix of the parabola.y = -2x2 - 20x - 52 = 0

A. V: ; F: ; D: x = - 
B. V: ; F: (-5, -4); D: x = 0
C. V: (-5, -2); F: ; D: y = - 
D. V: ; F: (-5, -10); D: x = -6

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Solve the problem.Find an equation for the level surface of the function f(x, y, z) = ln that passes through the point .

A. ln   = 9
B. ln   = 
C.    = e11
D.    = e9

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Factor. If a polynomial is prime, state this.3x3 + 6x2y - 24xy2

A. 3x(x + 2y)(x - 4y) B. (x - 2y)(3x2 + 12xy) C. 3x(x - 2y)(x + 4y) D. (3x2 + 6xy)(x - 4y)

Mathematics

Use a vertical format to find the product.4y3 + 8y2 + 3y + 5

A. 8y4 + 12y3 + 40y2 + 15y + 25 B. 8y4 + 28y3 + 30y2 + 19y + 15 C. 28y4 + 28y3 + 40y2 + 15y D. 28y4 + 40y3 + 15y2 + 25y

Mathematics