Math Problem Statement
I. Graphing Parabolas: Graph the following equations in a rectangular coordinate plane. Then, identify the required properties being asked in each item.
- 3y^2 - 18y + 12x + 3 = 0 Standard Form: Opening: Vertex: Distance between the vertex and focus: Focus: Equation of Axis of Symmetry: Length of Lactus Rectum: Endpoints of Latus Rectum: Equation of Directrix:
Solution
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Math Problem Analysis
Mathematical Concepts
Conic Sections
Parabolas
Quadratic Equations
Graphing
Formulas
Standard form of a parabola: (y - k)^2 = 4p(x - h)
Formula for completing the square: (b/2)^2
Distance formula for vertex and focus: p
Theorems
Parabola Equation Theorem
Axis of Symmetry Theorem
Latus Rectum Property of Parabolas
Suitable Grade Level
Grades 10-12