Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. focus: (0,-1) A)y² = -4x B)x² = -4y C)x² = y D)y² = -x E)x² = -y

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Quizplus · Accepted Answer

Since the vertex of the parabola is at the origin, the equation will be of the form x^2 = 4py or y^2 = 4px. Since the focus is (0,-1), which is p units below the vertex, p = -1. Therefore, the equation of the parabola is x^2 = -4y. Rearranging this equation into standard form, we get B: x^2 = -4y.

Find the Standard Form of the Equation of the Parabola