Give the equation of hyperbola. Given center (1,1), vertex (1,5) and conjugate axis 6.

Q: Write an equation for each hyperbola.

A: From the figure of the given hyperbola, find out the vertices , co-vertices and the center of the…

Q: 2. Give the equation in the form ax + by +c = 0 fo the line & passing through C(-4, 6) with slope 1…

A: From the given data we have to find the following value.

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: To Find- Find the Standard Equation  hyperbola with vertices at -2, -4, -2, -6, foci at -2, -5, -2,…

Q: Calculate the focus and the directrix of the parabola x^2 + 2 x y + y^2 - 4 x + 2 y - 6 = 0.

A: The given equation of conic is:To find:The focus and directrix of the given parabola.Concept:The…

Q: 4 Write the equation of the parabola given vertex and a point. a) vertex (-2,5); point (3, 6) b)…

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Q: Instruction: On a sheet of paper (e.g., graphing paper or bond paper), write each of the following…

A: As per our guidelines, we can solve maximum one question at a time. Please repost the other…

Q: put the equation in standard form then find the center, major and minor vertices, foci and…

A: To Determine: Put the equation in standard form then find the center, major and minor vertices,…

Q: Determine whether statement, "Find the standard form of the equation of an ellipse with vertices at…

A: Vertices of the ellipse are 0, -6 & 0, 6 and it passes through the point 2, -4. Since the…

Q: A With the given equations, determine the vertex, focus, directrix, and axis of symmetry of the…

A: As we know that the standard equation of the parabola is: y-k2=4px-h where, vertex: (h, k), focal…

Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

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Q: 13. Complete the square and find the vertices of this ellipse: 25x² +50x +4y² –16y = 59 A) (-3,2),…

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Q: Write an equation in standard form for a hyperbola with center at (4, 0), vertex (10, 0), and focus…

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Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A: Given Equation:- 2025y2-225x2=455,625

Q: 5. Find the equation of the hyperbola with vertices at (3, 3) and (-13, -3), and passes through the…

A: Given, Vertices of hyperbola are (3, -3) and (-13, -3) And hyperbola passes through point (5, 0)…

Q: Write the equation of a parabola given vertex 2,4 and point 8,0. And please identify the focus.

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Q: Write the equation of the hyperbola in standard form. (-1,7) (-1.5)

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Q: Write the equation of each parabola in vertex form.

A: Given,           Vertex : (3,-2) = (h,k)           Point : (2,3)

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

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Q: 15) Vertices: (-9, 13), (-9, -13) Foci: (-9, 12), (-9, -12)

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Q: 1. Write an equation for the given parabola in graphing form: a. Vertex at (-1,3) and passing…

A: A parabola is a conic section obtained on slicing a right circular cone by a plane parallel to the…