Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 = 12x

A. vertex: (0, 0)
focus: (-3, 0)
directrix: x = 3

B. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3

C. vertex: (0, 0)
focus: (0, 3)
directrix: y = -3

D. vertex: (0, 0)
focus: (3, 0)
directrix: x = -3


Answer: D

Mathematics

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Match the description with the correct symbolic expression.a linear equation whose graph has x-intercept -5 and y-intercept 19

A. -19x + 5y = 95 B. y = 19x + 95 C. x = 19 D. f(x) = -5

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Write a slope-intercept equation for a line with the given characteristics.m = 6, passes through (4, -5)

A. y = 6x - 29 B. y = 6x + 28 C. y = 6x - 27 D. y = 7x + 30

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List the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = -4x4 + 2x2 - 4x + 6

A. ± , ± , ± , ± , ± , ± 1, ± 2, ± 3, ± 6
B. ± , ± , ± , ± , ± 1, ± 2, ± 3, ± 6
C. ± , ± , ± , ± , ± 1, ± 2, ± 3, ± 4, ± 6
D. ± , ± , ± , ± , ± , ± 1, ± 2, ± 4

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Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio.{5n2}

A. Arithmetic; d = 5
B. Geometric; r = 5
C. Geometric; r = 
D. Neither

Mathematics