Math Tutoring on Graphing and Writing Equations of Parabolas
A Parabola is set of all points (x, y) that are equidistant from a fixed line called the Directrix and a fixed point called the Focus.
Standard Form of an Equation of a Parabola:
A Parabola with Vertex (h, k) and directrix is,
For directrix , the equation is,
The Focus lies on the axis ‘a’ units (directed distance) from the Vertex.The coordinates of the focus are as follows:
The Latus Rectum is the chord through a Focus parallel to the Directrix. The Latus Rectum has length 4a.
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1. What is a Parabola?
2. What is Latus Rectum of a Parabola?
3. State and describe the Standard Form of an equation of a Parabola.
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