## Tutoring on Graphing and Writing Equations of Parabolas

Learning Objectives:

#### Understand to Write and Graph Equations of Parabolas.

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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Hook questions:

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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