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Parabola: The locus of a point which moves such that its distance from a fixed vertex 0 0 is equal to its distance from a fixed straight line. Since the vertex is at 0, 0 and the focus is at 0, 4 which lies on the y-axis, the y-axis is the axis of the parabola.

In The Ellipse we saw that an ellipse is formed when a plane cuts through a right circular cone. If the plane is parallel to the edge of the cone, an unbounded curve is formed. This curve is a parabola. Like the ellipse and hyperbola , the parabola can also be defined by a set of points in the coordinate plane. Now we extend the discussion to include other key features of the parabola.

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This is the vertex form calculator also known as vertex calculator or even find the vertex calculator. If you want to know how to find the vertex of a parabola , this is the right place to begin. Moreover, our tool teaches you what the vertex form of a quadratic equation is and how to derive the equation of the vertex form or the vertex equation itself. And this is not the end! This calculator also helps you convert from the standard to the vertex form of a parabola, or even the other way round , in a blink of an eye! Try our parabola calculator! The vertex of a parabola is a point that represents the extremal value of a quadratic curve. The quadratic part stands because the most significant power of our variable x is two. The vertex can be either a minimum for a parabola opening up or a maximum for a parabola opening down. Alternatively, we can say that the vertex is the intersection of the parabola and its symmetry axis.

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Did you know that the Olympic torch is lit several months before the start of the games? The ceremonial method for lighting the flame is the same as in ancient times. The ceremony takes place at the Temple of Hera in Olympia, Greece, and is rooted in Greek mythology, paying tribute to Prometheus, who stole fire from Zeus to give to all humans.

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Any time you come across a quadratic formula you want to analyze, you'll find this parabola calculator to be the perfect tool for you.

BPSC Asst. Patna Civil Court Group C. BPSC Exam. It follows that:. Indian Airmen Group Y. NWDA Exam. CG Patwari. HP Forest Guard. Indian Coast Guard. How To: Given its focus and directrix, write the equation for a parabola in standard form.