3. Complete the square to determine whether the equation represents an ellipse, a parabola, a hyperbola or a degenerate conic. For ellipse: find center, foci, vertices, and length of the major and minor axes; For parabola: find the vertex, focus, and directrix; For hyperbola: find the center, foci, vertices, and asymptotes. Sketch the graph. (a) x² +6x+12y+9=0 (b) 2x² + y² = 2y +1 (c) 16x² (d) x² +16=4(y² +2x) -9y²-96x+288=0

Q: Find the equations of the parabolas that share a vertex and a focus with the ellipse. Draw the…

A: Equation of the ellipse gives: 25x2+16y2=16x216/25+y2=1

Q: Part D

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Q: B. Express each equation of the ellipse in standard form. Determine the equation and the length of…

A: We have to draw the ellipse.

Q: 1. Find the equations of the parabolas that share a vertex and a focus with the ellipse. Draw the…

A:

Q: а. Center: h %3D k = b. Foci: c. Vertices: d. Co - vertices: e. Equation of the ellipse: and and a =…

A:

Q: Given the following properties of a hyperbola, sketch the graph. State the complete properties: type…

A: Given the following properties of a hyperbola, sketch the graph. State the complete properties: type…

Q: 7. Convert the equati- conic section the e center. If it is a par 4x² - y² + 32x+6y +

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Q: Find the vertices and locate the foci of the hyperbola with the given equation. Then graph the…

A:

Q: etermine, the foci, the vertices, and the equation of the ellipse that has a center C (4.4), a…

A: In this question, equation of ellipse is to be determined. Ellipse An ellipse is a collection of…

Q: Find the vertex, focus, and directrix of parabola with the given equation (y - 2)2 = -16x. Then…

A: we have to find the vertex, focus and directix of parabola with the given equation y-22=-16x. then…

Q: 5. (x-1)² y² 36 9 1 center: vertices: co-vertices: foci:

A: The given equation of the ellipse is x-1236+y29=1. We have to graph the ellipse.