Parabola

Parabola

1. What’s a parabola?

   • A u-shaped curve with certain specific properties. Formally, a parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus of points such that the distance to the focus equals the distance to the directrix.

2. What is the vertex of a parabola?

   • Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

3. What is a parabola's axis of symmetry?

   • The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

4. What is the equation of a parabola?

   • The general form of a quadratic is "y = ax2 + bx + c"

5. APA References

   • #1. (n.d.). Retrieved from https://www.varsitytutors.com/hotmath/hotmath_help/topics/axis-of-symmetry-of-a-parabol. #2. Vertex of a Parabola. (n.d.). Retrieved from https://www.mathwarehouse.com/geometry/parabola/vertex-of-a-parabola.php

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