Parabolas

Parabolas

1. What is a parabola?

   • A parabola is a curve where any point is at an equal distance from: a fixed point (the focus ), and a fixed straight line (the directrix )

2. What is the vertex of a parabola?

   • The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
     • APA
       • Parabola. (2015). In Math is Fun. Retrieved from https://www.mathsisfun.com/geometry/parabola.html
         • The Vertex of a Parabola. (2017). In Varsity Tutors. Retrieved from https://www.varsitytutors.com/hotmath/hotmath_help/topics/vertex-of-a-parabola.html
           • Conics: Parabolas: Introduction. (2012). In Purple Math. Retrieved from http://www.purplemath.com/modules/parabola.htm
             • Axis of Symmetry of a Parabola. (s.f.). In Math Warehouse. Retrieved from http://www.mathwarehouse.com/geometry/parabola/axis-of-symmetry.php

3. What is the equation of a parabola?

   • The "general" form of a parabola's equation is the one you're used to, y = ax2 + bx + c — unless the quadratic is "sideways", in which case the equation will look something like x = ay2 + by + c. The important difference in the two equations is in which variable is squared: for regular (vertical) parabolas, the x part is squared; for sideways (horizontal) parabolas, the y part is squared.

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

   • Is the line that runs down its 'center'. This line divides the graph into two perfect haves.

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