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find the length of latus rectum, focal length, opening of the graph, standard form, vertex, focus, endpoint of latus rectum, axis of symmetry, and directix  of the given parabola equation.

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Find the length of latus rectum, focal length, opening of the graph, standard form, vertex, focus, endpoint of latus rectum, axis of symmetry, and directrix of the given parabola equation.

Solve the parabola equation 4x^2 + 2x + 4y - 11 = 0 to find the latus rectum, focal length, opening direction, standard form, vertex, focus, endpoint of the latus rectum, axis of symmetry, and directrix. This problem explores key concepts in conic sections and quadratic equations, suitable for Grades 9-12.

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