Math Problem Statement
3x2 = -12yC. Given the general equation of parabola, find the following: a. Standard equation b. Coordinates of the vertex c. Coordinates of the focus d. Equation of axis of symmetry e. Equation of directrix
Solution
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Math Problem Analysis
Mathematical Concepts
Conic Sections
Parabolas
Quadratic Equations
Formulas
(x - h)^2 = 4p(y - k)
Vertex form: (h, k)
Focus: (0, k + p)
Directrix: y = k - p
Theorems
Standard Form of a Parabola
Suitable Grade Level
Grades 10-12
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