Transformations of Graphs

Transformations of Graphs

Multiple Select

The function

 $f\left(x-3\right)$  is a translation...

• 3 units to the right parallel to the x axis

• 3 units to the left parallel to the x axis

Multiple Select

The function

 $f\left(x+4\right)$  is a translation...

• 4 units to the right parallel to the x axis

• 4 units to the left parallel to the x axis

Multiple Select

The function

 $f\left(x\right)+4$  is a translation...

• 4 units down parallel to the y axis

• 4 units up parallel to the y axis

Multiple Select

The function

 $f\left(x\right)-6$  is a translation...

• 6 units down parallel to the y axis

• 6 units up parallel to the y axis

Multiple Select

The function

 $-f\left(x\right)$  is a translation...

• Graph is reflected in the x axis

• Graph is reflected in the y axis

Multiple Select

The function

 $f\left(-x\right)$  is a translation...

• Graph is reflected in the y axis

• Graph is reflected in the x axis

Multiple Select

The function  $f\left(x\right)$  has a minimum point  $\left(4,-3\right)$  . Find the new mimimum point when the graph is translated  $f\left(x+3\right)$  

•  $\left(7,-3\right)$  

•  $\left(1,-3\right)$  

Multiple Select

The function  $f\left(x\right)$  has a minimum point  $\left(4,-3\right)$  . Find the new mimimum point when the graph is translated  $f\left(x\right)-7$  

•  $\left(4,-10\right)$  

•  $\left(-3,-3\right)$