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2. List of types of functions - Wikipedia

   en.wikipedia.org/wiki/List_of_types_of_functions

   As an algebraic theory, one of the advantages of category theory is to enable one to prove many general results with a minimum of assumptions. Many common notions from mathematics (e.g. surjective, injective, free object, basis, finite representation, isomorphism) are definable purely in category theoretic terms (cf. monomorphism, epimorphism).

3. Convex curve - Wikipedia

   en.wikipedia.org/wiki/Convex_curve

   A parabola, a convex curve that is the graph of the convex function () = In geometry , a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these curves, going back to Archimedes .

4. List of curves - Wikipedia

   en.wikipedia.org/wiki/List_of_curves

   Download as PDF; Printable version; In other projects Wikidata item; ... Parabola; Hyperbola. Unit hyperbola; Degree 3. Cubic plane curves include Cubic parabola;

5. Parabola - Wikipedia

   en.wikipedia.org/wiki/Parabola

   In the theory of quadratic forms, the parabola is the graph of the quadratic form x 2 (or other scalings), while the elliptic paraboloid is the graph of the positive-definite quadratic form x 2 + y 2 (or scalings), and the hyperbolic paraboloid is the graph of the indefinite quadratic form x 2 − y 2. Generalizations to more variables yield ...

6. Completing the square - Wikipedia

   en.wikipedia.org/wiki/Completing_the_square

   In contrast, the graph of the function f(x) + k = x 2 + k is a parabola shifted upward by k whose vertex is at (0, k), as shown in the center figure. Combining both horizontal and vertical shifts yields f(x − h) + k = (x − h) 2 + k is a parabola shifted to the right by h and upward by k whose vertex is at (h, k), as shown in the bottom figure.

7. Cubic function - Wikipedia

   en.wikipedia.org/wiki/Cubic_function

   The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of ...