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Problem 54

Determine the equation in standard form of the parabola that satisfies the given conditions. Focus at (0,-5)\(;\) directrix \(y=5\)

Problem 55

Determine the equation in standard form of the parabola that satisfies the given conditions. \(.\) Horizontal axis of symmetry; vertex at (0,0)\(;\) passes through the point (1,3)

Problem 55

Determine the equations in standard form of two different hyperbolas that satisfy the given conditions. Center at (0,0)\(;\) transverse axis of length \(12 ;\) slope of one asymptote is 4

Problem 55

Determine the equation in standard form of the ellipse that satisfies the given conditions. One endpoint of minor axis at (7,-4)\(;\) center at (7,-8) major axis of length 12

Problem 56

Determine the equation in standard form of the parabola that satisfies the given conditions. Vertical axis of symmetry; vertex at (0,0)\(;\) passes through the point (-2,6)

Problem 56

Determine the equation in standard form of the ellipse that satisfies the given conditions. One endpoint of minor axis at (-6,1)\(;\) one vertex at (-3,-4)\(;\) major axis of length 10

Problem 56

Determine the equations in standard form of two different hyperbolas that satisfy the given conditions. Center at (-3,-6)\(;\) distance of one vertex from center is 5; distance of one focus from center is 7

Problem 57

Determine the equations in standard form of two different hyperbolas that satisfy the given conditions. Transversc axis of length \(6 ;\) transverse axis vertical; one vertex at (-1,1)\(;\) distance of one focus from nearest vertex is 4

Problem 57

Determine the equation in standard form of the parabola that satisfies the given conditions. \(.\) Vertical axis of symmetry; vertex at (4,3)\(;\) passes through the point (5,2)

Problem 58

Determine the equations in standard form of two different hyperbolas that satisfy the given conditions. Transverse axis of length \(12 ;\) transverse axis horizontal; one vertex at (6,5)\(;\) slope of one asymptote is -5

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