Write the equation in standard form of the conic with the given characteristics: parabola: vertex (3,-3) and focus (3,-9/4)

Q: Find the equation of the graph for each conic in general form. Identify the conic, the center, the…

A: Given that: The equation 9 ( y - 3 )2  - 4 ( x + 5 )2 = 36.

Q: Find a polar equation for the conic Parabola with its focus at the pole and the vertex (2, π/2)

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions, Foci: (-8,…

A: Foci are -8, 0, 8, 0 and vertices are -3, 0, 3, 0. Since the foci and vertices lies on x-axis, the…

Q: hyperbola, vertices (±3, 0), foci (±6, 0)

A: Equation of hyperbola :x2a2 - y2b2 =1 , when vertices is on the x-axis.

Q: Find the standard form equation for the hyperbola with vertices (0,12), (0,-12) and foci (0,13),…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics Center: (0,…

A: Given that the center=(h,k)=(0,0) a=Distance between center and vertex= distance between (0,0) and…

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (5, -3), vertex…

A: The general form of the parabola is given by: y=a(x-h)2+k...(1) where (h,k( is the vertex of the…

Q: Identify the type of conic section whose equation is given. 5x2 = y + 5 ellipse parabola O hyperbola…

A: Answer is Option 2 is correct. Explanation is given below..

Q: Find the standard form of the equation of the hyperbola with the given characteristics Center: (0,…

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Q: Find an equation for the conic section with the given properties. The ellipse with center C(3, -1),…

A: here distance between center to the vertex is a=10 and the distance between center to focus is c=6

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (1, 0) and…

A: Given:The center of the hyperbola is at the origin, vertices at (1,0) and (–1,0) and foci at (3,0)…

Q: Find the standard form equation for the hyperbola with vertices (0,12), (0,-12), and foci…

A: The Objective is to find the standard form of hyperbola

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0,1) and…

A: To find the standard form equation for a hyperbola with center at the origin, vertices at (0,1) and…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. 4x 2−…

A: An equation has to have x2 or y2 to be an equation of any conic sections. If, in an equation neither…

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

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Q: Write the stabdard form equation of each hyperbola. Vertices (0,1) and (4,1) foci (-1,1) and (5,1)

A: Given,Vertices: (0,1) and (4,1)foci: (-1,1) and (5,1)Now,distance between…

Q: Identify what type of conic section is given by the equation below and then find thecenter, foci,…

A: We need to rewrite the equation in the form (x-h)^2/a^2-(y-k)^2/b^2=1 by using completing the…

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (3, 0) and…

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Q: Find the standard form of the equation of a hyperbola given the following information. Vertices…

A: By  using hyperbola equation formula, we find the required hyperbola equation.

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (2, -4), vertex…

A: The focus and vertex lie on a line x=2 and the focus is below the vertex. Hence this is a downward…

Q: Find the standard form of the equation of an ellipse with the given characteristics. foci (-1,0) and…

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Q: Identify the type of conic section whose equation is given. 2x2 = y2 + 2 parabola ellipse…

A:

Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: The standard form of the equation of a hyperbola with center (h, k) and transverse axis is vertical…

Q: Which conic section is represented by the equation 2-8y+y + 11 = 0? O Ellipse Circle Parabola…

A: Use equation of circles that is x^2+y^2=r^2

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

A: All vertices and foci are on the x-axis so the equation of the hyperbola has the standard form:

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, –1), (8, –1),…

A:

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at -4), and…

A: Here we have to find the standard form equation for a hyperbola with center at origin, vertices at…

Q: Decide if the equation defines an ellipse, a hyperbola, a parabola,or no conic section at all. −4x +…

A: Decide if the equation defines an ellipse, a hyperbola, a parabola, or no conic section at all.…

Q: find an equation for the hyperbola with center C (0,0), vertices V (+-4,0), and foci F (+-6,0)

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Q: Identify the conic section given by the following equation as a parabola, ellipse, circle, or…

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Q: Write the equation in standard form of the conic with the given characteristics: ellipse: center…

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Q: Solve for the equation in standard form of the following conic sections and graph the curve on a…

A: An equation of the ellipse is of the form, x2a2+y2b2=1 Equation of the ellipse through the point…

Q: Write an equation for the hyperbola that has vertices (±2,0) and foci (±v 53,0).

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-1, 3), vertex…

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Q: Identify the type of conic section whose equation is given. 2x2 = y2 + 2 O hyperbola parabola…

A: Given: The equation 2x2=y2+2, To determine: The type of conics.

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (2, 0) and…

A: The hyperbola is centered at origin, vertices at (2,0) and (-2,0)and foci at (4,0) and (-4,0)

Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Please see the explanation below

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (6, 0) and…

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Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 5) and…

A: If the transverse axis is parallel to the y-axis and centre origin then the equation of the…

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

A: Given  that,  Vertices :±3,0   Thus, Vertices  are on the x-axis. Equation of hyperbola is of the…

Q: Identify what type of conic section is given by the equation below and then find the center, foci,…

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Q: Identify what type of conic section is given by the equation below and then find the center, foci,…

A: the given equation of the curve is: 4x2-24x-4y+28=y2 we have to identify what type of conic section…

Q: Find an equation for the conic that satisfies the given conditions.Parabola, focus(3,6) ,…

A: *to find:- equation of conic. *given:- focus, F(3,6) vertex, V(3,2)

Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

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Q: Find the focus and directrix of the conic parabola in standard form: (y-3)2=-4(x-4.5)

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Q: Use this information provided to write the equation of the hyperbola Vertices: (0, 1), (-10, 1)…

A: We have to find the equation of the hyperbola whose Vertices: (0, 1), (-10, 1) and Foci: (8, 1),…

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 4) and…

A: Stranded form of the hyperbola

Q: Convert to standard form, determine the type of conic, then graph the equation, Equation, Center,…

A: To fins the graph the equation, Equation, Center, Foci, Vertices, Asymptotes

Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±4, 0) and…

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