Choose the correct conic section to fit the equation. y- Hyperbola Parabola Ellipse Circle

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 of the conic described; graph the equation.  Parabola: focus ( - 1, 4.5), vertex (…

A: Since the vertex is below the point of focus, so the parabola opens vertically upwards. The general…

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, 2), (0, 4),…

A: The center is the midpoint of (0,0) and (0,6)  So, ((0+0)/2 , (0+6)/2) = (0,3) is the vertex…

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+5, 0), vertices:…

A:

Q: The conic with eccentricity e = 1/2 is a a) circle c) ellipse b) parabola d) hyperbola

A: step:-1 Eccentricity (e) :- The eccentricity e of a conic section is defined to be the ratio of the…

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

A:

Q: Which conic section is formed in the image shown? O Circle O Parabola Ellipse O Hyperbola

A: we have to select the formation of an image

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: Determine the standard form of an equation of a hyperbola with eccentricity 13/12and vertices (−2,…

A: Given:

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

A:

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: 7. FIND THE EQUATION FOR EACH CONIC: ELLIPSE, = (0,-4) VERTEX = (8,-4

A:

Q: Find an equation of the conic described;graph the equation. Parabola:focus(-1,4.5) vertex (-1,3).

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Q: need help in solving this conic section. Find the equation of the ellipse whose foci are at (2, 3)…

A:

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: Identify whether the graph of the equation is a​ circle, an​ ellipse, a​ hyperbola, or a parabola.…

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

A:

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

A:

Q: Find the standard form of the equation of the ellipse.  Vertices: (3,1) and (3,7) Eccentricity:…

A: The standard equation of the vertical ellipse having centre at (h,k) and eccentricity…

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: Choose the correct conic section to fit the equation. Parabola O Hyperbola Circle Ellipse

A:

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

A: The standard form of the equation of the hyperbola when given characteristics are foci (0,6)…

Q: Make canonical equations for a hyperbola with an imaginary axis equal to 2 and focus F (-√13; 0)

A: One focus of the hyperbola is given.From the focus, the hyperbola is right -left facing…

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

A:

Q: (b) What can you say about the eccentricity if the conic sectionis an ellipse? A hyperbola? A…

A: Eccentricity- The eccentricity of a conic section tells us about its shape, it shows how much a…

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

A:

Q: Identify whether the graph of the equation is a​ circle, an​ ellipse, a​ hyperbola, or a parabola.…

A:

Q: 5.) Vertex: (-2,4); Focus (-2,6) hk

A: As per the guidelines; we are supposed to solve only one problems from the given multiple questions.…

Q: Find the standard form of the equation of the hyperbola shown below. 10

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Q: If a conic has rmin = 18 and rmax = 30, find the eccentricity and semi-major axis

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Q: Name the conic that has the given properties and find its Cartesian equation. Eccentricity 5/3 and…

A: Given: Eccentricity (e) = 53 and vertices = (0, ±3) .

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: Choose the correct conic section to fit the equation. O Circle Ellipse O Hyperbola Parabola NEXT…

A: We have to check

Q: he hyperbola with the equation

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Q: Find the standard form of the equation of the hyperbola. 10

A: Here, the center of the hyperbola is -1,-2 and the vertices are -3,-2 and 1,-2. Also, the covertices…

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

A:

Q: Find an equation for the hyperbola that satisfies the given conditions Foci: (+5, 0), vertices: (±3,…

A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)

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: Find the standard form of the equation of the hyperbola with the given characteristics and center at…

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

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section x-4x+y…

A: The given equation is x2-4x+y2 = 5.It can be simplified asx2-4x+y2 = 5⇒x2-4x+y2-5 = 0⇒x-22+y2-9 =…

Q: Find an equation of the ellipse. Vertices: (0, 6), (4, 6) Eccentricity: 1/2

A: Given Vertices: (0, 6), (4, 6)Eccentricity: 1/2

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

A:

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

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

A: Formula Used: Standard form of hyperbola is:                                         Where,  he…

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

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.