Math Problem Statement
find the Length of Latus Rectum, Focal Length, Opening of the Graph, Standard Form, Vertex, Focus, Endpo of Latus Rectum, Axis of Symmetry, and directrix of the give parabola equation y +16x - 2y +49 =0 and x +2x+4y - 11 =0
Solution
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Math Problem Analysis
Mathematical Concepts
Parabola
Algebra
Coordinate Geometry
Formulas
Standard form of a parabola (horizontal): (y - k)^2 = 4p(x - h)
Standard form of a parabola (vertical): (x - h)^2 = 4p(y - k)
Focal length: |p|
Length of Latus Rectum: |4p|
Theorems
Parabola properties
Equation simplification
Suitable Grade Level
Grades 9-12
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