Parabola
Welcome to the Parabola hub. Explore tutorials, formulas, worked examples, interactive graphers, and practice problems designed to deepen your understanding of parabolas and their properties.
Start Here
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Equation of a Parabola
The definition, worked examples, and an interactive grapher covering the vertex, focus, and directrix.
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Equation of a Parabola: Worked Solutions
Step-by-step solutions to the standard exercises on the equation of a parabola.
Find and Compute
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Find the Equation of a Parabola from a Graph
Read points off a parabola's graph and recover its equation — with a random-parabola practice mode.
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Parabola Calculator Given its Vertex and a Point
Enter the vertex and one additional point to get the equation in both vertex and general form.
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Three Points Parabola Calculator
Enter any three points and get the unique parabola passing through them.
Focus, Directrix, and Reflection
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Focus of a Parabolic Reflector Calculator
Find the focus of a parabolic reflector from its shape and dimensions.
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Find the Focus of a Parabolic Dish Antenna
Locate the focus of a dish antenna, where the receiver must sit for optimal signal.
Lines and Intersections
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Points of Intersection of a Parabola and a Line
Find the intersection points algebraically and confirm them on the graph.
Applications
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How Parabolic Antennas Work
How the reflective property of a parabola is used to focus signals in satellite dishes and radio telescopes.