Math Problem Statement
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.
Solution
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Parabolas
Conic Sections
Formulas
Latus Rectum = 4p (where p is the focal length)
Standard form of parabola: y^2 = 4px or x^2 = 4py
Vertex form of a parabola: (x - h)^2 = 4p(y - k) or (y - k)^2 = 4p(x - h)
Theorems
Focus-Directrix Property of Parabolas
Symmetry of Parabolas
Suitable Grade Level
Grades 9-12
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