Parabola Equations In Four Orientations

This animation shows how the standard parabola equation y² = 4ax changes form as the curve opens rightward, leftward, upward, or downward. Each orientation is linked to its equation, sign of the coefficient, axis of symmetry, and vertex position, helping students see the connection between algebraic sign changes and geometric direction. Useful for 12th grade students studying conic sections and preparing for coordinate geometry exams.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Explain the equation of parabola in different quadrant. Audience: 12th Grade Students

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• Show how the focus and directrix shift for each parabola orientation
• Derive the standard equation of a parabola from its definition using distance
• Compare parabola, ellipse, and hyperbola equations in one unified animation