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Rewrite y^2 = x - 4y + 7 into the standard conic form and determine whether it is a circle, an ellipse, or a parabola.

Rewrite y^2 = x - 4y + 7 into the standard conic form and determine whether it is a circle, an ellipse, or a parabola. By method of Completing the Square: If it is a parabola, specify its vertex and scaling factor. If it is a circle, specify its center and radius. If it is an ellipse, specify its center, major axis length, and minor axis length. Please show all your steps and work. Thank you

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