Parent Functions and Transformations:
Example: Transformations
Description: The parent function is f(x)= absolute value of x. We are to describe how the graph pictured is related and how it transforms. The parent function is the dotted line. The g(x) is the solid line. The graph moves over 8 times so the equation would be f(x)= lx-8l. Use the opposite sign.
Description: The parent function is f(x)= absolute value of x. We are to describe how the graph pictured is related and how it transforms. The parent function is the dotted line. The g(x) is the solid line. The graph moves over 8 times so the equation would be f(x)= lx-8l. Use the opposite sign.
Example: Transformations
Description: The parent function is f(x)= the absolute value of x. We are to describe how the graph pictured is related and how it transforms. The g(x) is the solid line. The graph moves down 5 times so the equation would be f(x)= lxl-5
Description: The parent function is f(x)= the absolute value of x. We are to describe how the graph pictured is related and how it transforms. The g(x) is the solid line. The graph moves down 5 times so the equation would be f(x)= lxl-5
Example: Graphing Piece-wise Functions
Description: we are to graph the piece-wise funtion:
f(x)= x-3 if x<0
x squared if 0<= 2
5 if x >= 2
Description: we are to graph the piece-wise funtion:
f(x)= x-3 if x<0
x squared if 0<= 2
5 if x >= 2