PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
1­5C Transformations Do Now: Use your graphing calculators to sketch the graph of each of the following functions and answer the questions that follow
How is this graph different from the parent function
?
How is this graph different from the parent function
?
PreCalc 11.5.15 1­5c Transformations part II.notebook
All parent functions can be translated reflected over the x and y axes by changing their equations in a similar manner. This is described below.
Ex 1: Describe the relationship between the graphs of the below.
and
parent function Then write an equation for Ex 2) Use your knowledge of translations and reflections to sketch the graphs of each of the following functions below.
November 05, 2015
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Rigid Transformation – transformation that changes only the position of the function, but leaves the size and shape unchanged. Translations and reflections are examples of rigid transformations. Nonrigid Transformation – transformation that changes the size/shape of a function. A dilation is an example of a nonrigid transformation.
Vertical and Horizontal Dilations
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Identify the parent function and describe how the graphs of g(x) and f(x) are related. Then sketch the graph of f(x) and g(x) on the same set of axes. PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Identify the parent function
and describe how the graphs of g(x) and f(x) are related. Then graph f(x) and g(x) on the same axes. PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Directions: Write the equation for each of the following functions. PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Graph a Piecewise­Defined Function
Graph
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Transformations with Absolute Value 1­5D
Do Now: Graph each of the following functions below.
1)
2)
3)
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015
Ex 1) Use the graph of the function below to sketch a graph of each of the following.
a) b)
PreCalc 11.5.15 1­5c Transformations part II.notebook
Ex 2) Use the graph of the function to sketch the graph of each of the following.
a)
b)
November 05, 2015
below
PreCalc 11.5.15 1­5c Transformations part II.notebook
November 05, 2015