2. Sketch the hyperbola y² - 2y - 4x² - 8x - 7 = 0. Find its centre, foci, eccentricity, asymptotes, and intersection points with the axes (if any).

Q: Find the equation of the given hyperbola with Vertices (±3, 0) and foci (±5, 0)

A: Given: Vertices (±3, 0) and foci (±5, 0)

Q: I. Find the equation in standard form of the specified hyperbola given the following conditions. 1.)…

A:

Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

A:

Q: One focus of a hyperbola lies at the point (0, -7) and the cor-responding directrix is the line y =…

A:

Q: 2. Graph the parabola given by the equation, put it into standard form, and identify the vertex,…

A:

Q: Find the coordinates of vertices, foci, eccentricity, latus- rectum and the equations of directrices…

A: We have a equation of hyperbola                         So we have to find the vertices , foci ,…

Q: VI. Find an equation of the hyperbola given the following conditions: 7. Center (2, -1), one focus…

A: Center of the hyperbola is 2, -1, one focus is 7, -1 and one vertex is 6, -1. Now center of the…

Q: find the eccentricity of the hyperbola. Then findand graph the hyperbola’s foci and directrices. y2…

A:

Q: find the eccentricity of the hyperbola. Then findand graph the hyperbola’s foci and directrices. y2…

A: Given equation of hyperbola is y2-3x2=3. Given equation can be written as: y23-3x23=1y23-x21=1 We…

Q: Find the standard equation of the hyperbola having vertices at (0,plus or minus 3) and foci at…

A: We know, if the vertices and foci are on the y-axis then the standard equation of the hyperbola is…

Q: Given the hyperbola x² + 2x – 4y? + 8y = 7. (a) Find the coordinates of the foci. (b) Find the…

A:

Q: find the eccentricity of the hyperbola. Then findand graph the hyperbola’s foci and directrices. x2…

A: Given that: The equation of the hyperbola x2 - y2 = 1.