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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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Solution Summary

This solution shows you a step by step method of writig the equation of the parabola in standard form. It also shows you how to fid the coordinates of the vertex, focus and equation of the directix.

Solution provided by:
Edwin Sinclar, MBA
Education
  • MBA, Aspen University
  • Bachelor of Science , Berea College
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