What is the transformation of the parent function?
The transformation of the parent function is shown in blue. It is a shift up (or vertical translation up) of 2 units.) Example: y = x - 1 Parent function (y = x) shown on graph in red. The transformation of the parent function is shown in blue.
How many transformations can be used in a graph?
Section 1Parent Functions and Transformations 7 Combinations of TransformationsYou can use more than one transformation to change the graph of a function. Describing Combinations of Transformations Use a graphing calculator to graph g( x) = ? ? x+ 5 ? ? 3 and its parent function. Thendescribe the transformations.
What is a family of functions?
A family of functions is a group of functions with graphs that display one or more similar characteristics. The Parent Function is the simplest function with the defining characteristics of the family. Functions in the same family are transformations of their parent functions. x x-5 -4 -3 -2 -1 -11 2 3 4 5-5 -4 -3 -2 -1 -11 2 3 4 5
How many parent functions are there in a graph?
Graphs of eight basic parent functions are shown below. Classify each function as constant, linear, absolute value, quadratic, square root, cubic, reciprocal, or exponential. Justify your reasoning. a.