Math Problem Statement

Find to STAND A d GENERAL equation of the parabola given the flowing parameters and draw is gruph

  1. Focus (1, 4) and directrix x = 11
  2. Vertex (-2, 0) and Focus (-5, 0)
  3. The length of the latus rectum is 12, the vertex is at (-4, -2) and the parabola opens downward
  4. The Latus Rectum 1 is at (-5, 8) and vertex is at (-2, 2)
  5. The Latus Rectum 1 is at (-8, 5), directrix y = -3, axis of symmetry x = 0

Solution

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Math Problem Analysis

Mathematical Concepts

Parabola
Focus-Directrix Relationship
Vertex Form of Parabola
Latus Rectum

Formulas

Distance formula
Standard form of parabola equation

Theorems

-

Suitable Grade Level

High School

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