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2. Parabola - Wikipedia

   en.wikipedia.org/wiki/Parabola

   In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the ...

3. Algebraic geometry - Wikipedia

   en.wikipedia.org/wiki/Algebraic_geometry

   Examples of the most studied classes of algebraic varieties are lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. These are plane algebraic curves. A point of the plane lies on an algebraic curve if its coordinates satisfy a given polynomial equation.

4. Paraboloid - Wikipedia

   en.wikipedia.org/wiki/Paraboloid

   In this position, the hyperbolic paraboloid opens downward along the x-axis and upward along the y-axis (that is, the parabola in the plane x = 0 opens upward and the parabola in the plane y = 0 opens downward). Any paraboloid (elliptic or hyperbolic) is a translation surface, as it can be generated by a moving parabola directed by a second ...

5. Completing the square - Wikipedia

   en.wikipedia.org/wiki/Completing_the_square

   Given a quadratic polynomial of the form + the numbers h and k may be interpreted as the Cartesian coordinates of the vertex (or stationary point) of the parabola. That is, h is the x -coordinate of the axis of symmetry (i.e. the axis of symmetry has equation x = h ), and k is the minimum value (or maximum value, if a < 0) of the quadratic ...

6. List of curves - Wikipedia

   en.wikipedia.org/wiki/List_of_curves

   This is a list of Wikipedia articles about curves used in different fields: mathematics (including geometry, ... Parabola; Hyperbola. Unit hyperbola; Degree 3

7. List of types of functions - Wikipedia

   en.wikipedia.org/wiki/List_of_types_of_functions

   The following are special examples of a homomorphism on a binary operation: Additive function: preserves the addition operation: f (x + y) = f (x) + f (y). Multiplicative function: preserves the multiplication operation: f (xy) = f (x)f (y). Relative to negation: Even function: is symmetric with respect to the Y-axis.