The graph of y = f (x) where f (x) = x 2 is the same as the graph of y = x 2. Writing equations as functions in the form f (x) is useful when applying translations and reflections to graphs.

Transformations of Functions This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors.

Graphs of quadratic functions can be used to solve equations. Example Draw the graph of y = 2 x 2 + 2 x 4 for values of –3 to 2. Use the graph to solve the equation y = 2 x 2 + 2 x 4. Solution ...

Semigroups of transformations and endomorphisms have emerged as powerful algebraic frameworks to elucidate the underlying structures of graphs. By harnessing the principles of semigroup theory ...

Orthogonality simplifies approximation analysis and leads to improved numerical properties. The basic idea is to use a fractional transformation to map the problem to a new domain, where an FIR ...

HORST HERBERG, On the Shape of the Transformation Curve in the Case of Homogeneous Production Functions, Zeitschrift für die gesamte Staatswissenschaft / Journal of Institutional and Theoretical ...