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Parabola: You must include the focus, vertex, lactus rectum, directrix, and the domain from the equation: y = - (x-0) ^2 + 15

Hyperbola: You must include the equations of the asymptotes and the domain from the equation: (2y^ (2)) / (b^ (2)) - (x^ (2)) / (a^ (2)) = 7

Ellipse: You must include the foci, vertices, and eccentricity from the equation: 4x^ (2) - 1x+10y^ (2) - 50y-1=0

Question

Mathematics

Braxton Harris

26 March, 10:25

Will Mark Brainliest

Parabola: You must include the focus, vertex, lactus rectum, directrix, and the domain from the equation: y = - (x-0) ^2 + 15

Hyperbola: You must include the equations of the asymptotes and the domain from the equation: (2y^ (2)) / (b^ (2)) - (x^ (2)) / (a^ (2)) = 7

Ellipse: You must include the foci, vertices, and eccentricity from the equation: 4x^ (2) - 1x+10y^ (2) - 50y-1=0

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Answers (1)

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Paddy · Answer 1

we are given with the data of a parabola with vertex at (2, 2) and directrix at y = 2.5. the formua should be ax^2 + b x + c = y because of the directrix.

(x-h) ^2 = 4a (y-k)

(x-2) ^2 = 4a (y-2)

a is the equidistant distance from focus to vertex and from vertex to directrix that is equal to - 0.5

then the answer is

(x-2) ^2 = -0.5*4 (y-2)

x2 - 4x + 4 = - 2y + 4

x2-4x+2y = 0

answer is C