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# Equation of parabola and ellipse in standard form

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5.Given the equation of the parabola( x^2)+4x-8y+4=0

(a)Write the equation in standard form
(b)Find the coordinates of the vertex, focus and equation of the directix.

6.Given the equation of the ellipse (9x^2)+(4y^2)-36x+8y+31=0 in standard form and find the center, foci, and vertices.
Sketch the graph clearly labeling the coordinates of all important points. What are the lenghts of the major and minor axes?

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This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

© BrainMass Inc. brainmass.com October 7, 2022, 6:53 pm ad1c9bdddf>
https://brainmass.com/math/graphs-and-functions/equation-parabola-ellipse-standard-form-393208