An equation of a hyperbola is given. x² – 4y² – 12 = 0 (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equation vertex (x, y) = (smaller x-value) vertex (x, y) = (larger x-value) focus (x, y) = (smaller x-value) focus (x, y) = (larger x-value) asymptotes (b) Determine the length of the transverse axis.

Q: focus: (0, 2) directrix: y = -2 focus: (0, -3) directrix: y = 3 focus: (0, -6) directrix: y = 6

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Q: Find an equation of the parabola with vertex (4, 2) and focus (4, 6).

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Q: Determine if the equation below describes an ellipse and, if so, give its correct center, foci, and…

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Q: Find the equation of the parabola that has a focus at (3,11)(3,11) and a vertex at (3,6)(3,6): The…

A: Given focus of the parabola 3,11 and a vertex of the parabola 3,6 We have to find the equation of…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

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Q: Consider the equation: a₁x₁ + a₂x₂ = ao, where x₁ and x₂ are variables and ao, a₁, az are nonzero…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: on of the hyperbola with

A: In this question, the equation of the hyperbola is obtained with the coordinates of foci and…

Q: Identify a and b for the hyperbola with equation

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Q: i: (6, –4), (–4, –4) jugate Axis is 8 units long

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Q: Given the graph of a hyperbola, find its equation. (The vertices are V = (-10, -4) and V, = (2, -4),…

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