# 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?

https://brainmass.com/math/graphs-and-functions/equation-parabola-ellipse-standard-form-393208

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