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