# How to transform parent graphs

You might be asked to write a transformed equation, give a graph. A lot of times, you can. When you apply a vertical transformation to a parent graph, you are stretching or shrinking the graph along the y–axis, which changes its height. A number (or. When you apply a horizontal transformation to a parent graph, you are stretching or shrinking the graph horizontally, along the x-axis. A number multiplying a.

A parent function is the most basic version of an algebraic function. with a≠0, then the graph of y = a f(x–h)+k is a transformation of the graph of y = f (x). A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise. Parent function (y = |x|) shown on graph in red. The transformation of the parent function is shown in blue. It is a shift up (or vertical translation up) of 2 units.).

Given the graphs of functions f and g where g is a transformation of f, determine the formula of g in terms of f. Usually, translation involves only moving the graph around. Squeezing or stretching a graph is more of a "transformation" of the graph. But these two topics are. The "Parent" Graph: parentgraph. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained .