Find the vertex, focus, and directrix of the parabola with the given equation.(x + 4)2 = -16(y + 3)

A. vertex: (4, 3)  
focus: (4, -1)  
directrix: y = 7
B. vertex: (-4, -3)  
focus: (-4, -7)  
directrix: y = 1
C. vertex: (-3, -4)  
focus: (-3, -8)  
directrix: y = 0
D. vertex: (-4, -3)  
focus: (-4, 1)  
directrix: x = -7


Answer: B

Mathematics

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Match the polynomial function with the graph.y = -x4 + 0.5x3 + 15.5x2 - 13x - 16

A.

B.

C.

D.

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Simplify using the order of operations.- + 40 ÷ (7 - (-3)) - 43

A. -125
B. -89
C.
D. -31

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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -  = 1

A. center at (0, 0)
transverse axis is y-axis
vertices: (0, -5), (0, 5)  
foci: (- 5, 0), (5, 0)
asymptotes of y = - x and y = x
B. center at (0, 0)
transverse axis is y-axis
vertices: (0, -5), (0, 5)  
foci: (0, - 5), (0, 5)
asymptotes of y = - x and y = x
C. center at (0, 0)
transverse axis is y-axis
vertices: (-5, 0), (5, 0)  
foci: (-10, 0), (10, 0)  
asymptotes of y = - x and y = x
D. center at (0, 0)
transverse axis is x-axis
vertices: (-10, 0), (10, 0)  
foci: (- 5, 0), (5, 0)
asymptotes of y = - x and y = x

Mathematics

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.f(x) = 2(x2 + 4)(x - 2)2

A. 2, multiplicity 2, touches the x-axis and turns around B. -4, multiplicity 1, crosses the x-axis; 2, multiplicity 2, touches the x-axis and turns around. C. 2, multiplicity 2, crosses the x-axis D. -4, multiplicity 1, crosses the x-axis; 2, multiplicity 2, crosses the x-axis

Mathematics