Write the equation of each conic section, given the following characteristics: a) Write the equation of an ellipse with center at (3,2) and horizontal major axis with length 8.  The minor axis is 6 units long.   b) Write the equation of a hyperbola with vertices at (3,3) and (-3,3).  The foci are located at (4,3) and (-4,3).   c) Write the equation of a parabola with vertex at (-2,4) and focus at (-4,4)   Give the equation of all three in standard form.  Number your 3 answers.

Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A:

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

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

Q: Find an equation for the conic that satisfies the given conditions ellipse, foci (0, +9), vertices…

A: Solve the following

Q: Find the center, vertices, foci and eccentricity of the conic section whose  equation is 20x^2 +…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-3, –4),…

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Q: Create a flowchart that will assist you in classifying a given General Conic equation as to whether…

A: In order to determine the type of  Conic sectionthrough equation, it can be done by checking x2…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (−1, −6),…

A: Given: Vertices: -1,-6, -1,8 foci: -1,-7, -1,9   The equation for hyperbola using foci is: |PF1| -…

Q: I need help in this question of the conic section. Find the equation of the ellipse whose center at…

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Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

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

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section y2 -…

A: y2-4x2+16x=24 On simplification, we get…

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

A: 8x2+7y2=1⇒x218+y217=1⇒x21222+y2172=1 Now comparing with x2b2+y2a2=1, we get a=17  &  b=122 Now…

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

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Q: What is the eccentricity of a conic section? How can you classify conic sections by eccentricity?…

A: Any conic section can be defined as the locus of points whose distances to a point (the focus) and a…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (0, ±2),…

A: follow the procedure given below.

Q: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

Q: Find the parametric, vector and Cartesian equations of the Ellipse with vertices (1.7, 2.9) and…

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

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Q: find the equation of the conic section indicated Ellipse with vertices (±8, 0), foci (±√3, 0)

A: Coordinates of vertices - ±a, 0 = ±8, 0a = 8Coordinates of foci - ±c, 0 = ±3, 0c = 3Let's find b -…

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertical axis, passing…

A: A parabola with vertices passing through 0,5,1,4, and -2,-5. Find the equation for the conic that…

Q: Create a graphic organizer about the steps that will guide you in classifying a given general conic…

A: Each conic section has its own standard form of an equation with x- and y-variables that you can…

Q: I was given a study packet (not graded) and I'm not sure I'm going about getting the equation into…

A: Given:

Q: Find the standard form of the equation of the conic section satisfying the given conditions:…

A: The focii of the  hyperbola are (0, -10), (0, 10). The vertices of the  hyperbola are (0, -7), (0,…

Q: Find the equation in xy coordinates for the conic section that satisfies the 4 following conditions:…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: Find an equation for the conic that satisfies the given conditions. Ellipse, foci (±2,0) , passing…

A: Given problem is : Find an equation for the conic that satisfies the givenconditions. Ellipse, foci…

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

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Q: find the vertices and foci of the conic section.

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Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

A: 3x2-2y2+24x+12y+24=0 On simplification, we get…

Q: Find the equation of the ellipse in standard form and general form with center (0,0) and major axis…

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Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci: (r - 3)2 (y+1)² (b) 4…

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Q: Find the equation of an ellipse that has center (1,0), a minor axis of length 6, and a vertex at…

A: One of the vertex is (1,8) and center is (1,0) So other vertex is (1, -8). So the two vertices of…

Q: Find the standard form for the equation of the hyperbola with foci (0,0) and (8,0) if the conjugate…

A: Standard form of equation of hyperbola.

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections 2x2 -…

A: Consider the given equation 2x2-y2+6y=3 It can be written as 2x2-y2-6y=3…

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections y2 -…

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Q: B. FIND THE EQUATION OF THE CONIC DESCRIBED: 1. ELLIPSE FOCI: (-2,0 (2;0) MAJOR AXIS LENGTH =/O

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

A: Please check step 2 for the solution

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

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Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: Given Hyperbola; Foci: (-4, 5), (2, 5); Vertices: (-3, 5), (1, 5)

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

A: To find the equation of hyperbola that satisfy the following conditions- vertices(-1, -3) , (-1, 5)…

Q: The hyperbola centered at the origin with vertices (0, 9) and (0, -9) and a conjugate axis 16 units…

A: Vertices = (0 , ±a) length of conjugate axis = 2b equation of hyperbola = y2a2-x2b2=1

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.