Equation of a Tilted Parabola?

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SUMMARY

The discussion focuses on deriving the equation of a tilted parabola, emphasizing that it is not a function in the traditional sense. The solution involves using parametric equations, specifically by rotating a standard parametric equation of a regular parabola. This method allows for the representation of the tilted parabola effectively.

PREREQUISITES
  • Understanding of parametric equations
  • Knowledge of standard parabola equations
  • Familiarity with geometric transformations, specifically rotation
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Research the derivation of parametric equations for standard parabolas
  • Study geometric transformations, focusing on rotation in the Cartesian plane
  • Explore applications of tilted parabolas in physics and engineering
  • Learn about the implications of non-function curves in mathematics
USEFUL FOR

Mathematicians, physics students, and anyone interested in advanced geometry or the applications of conic sections.

Josiex3
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Hi, I'm trying to find the equation of a tilted parabola. I appreciate your help.
 
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It's not a function. You could write it parametrically by rotating a parametric equation for an ordinary parabola.
 

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