Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 6x = 8y - 41

A. vertex: (3, 4)
focus: (3, 6)
directrix: y = 2

B. vertex: (3, 4)
focus: (5, 4)
directrix: x = 1

C. vertex: (3, 4)
focus: (3, 2)
directrix: y = 6

D. vertex: (3, 4)
focus: (1, 4)
directrix: x = 5


Answer: A

Mathematics

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Sketch D and g(D) from the description of D and change of variables x = u + v, y = 2u - v where D is the rectangle 0 ? u ? 1, -1 ? v ? 1?

A.

?

B.
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C.
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D.
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Determine the indefinite integral.

A. ln(1 + cosh x) + C
B.  + C
C. cosh2 x + C
D. -ln(1 + cosh x) + C

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Find the ordered pair for the vertex.f(x) = (x + 17)2 + 6

A. (6, 0) B. (-17, 17) C. (0, 6) D. (-17, 6)

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Provide an appropriate response.Use a calculator to find sin 42°28' rounded to the nearest ten-thousandth.

A. -0.9985 B. 0.6752 C. 1.0015 D. 1.4811

Mathematics