Reflections of Linear Functions

Compare the function

 $n\left(x\right)=\frac{1}{3}x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 1/3

• Vertical Compression by a factor of 1/3

• Reflection over the x-axis

Compare the function

 $g\left(x\right)=\frac{5}{4}x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 5/4

• Vertical Compression by a factor of 5/4

• Reflection over the x-axis

Compare the function (red) to the parent function black.

• Vertical Stretch

• Vertical Compression

• Reflection over the x-axis

Compare the function (red) to the parent function black.

• Vertical Stretch

• Vertical Compression

• Reflection over the x-axis

Compare the function (red) to the parent function (black).

• Vertical Stretch

• Vertical Compression

• Reflection over the x-axis

Compare the function

 $q\left(x\right)=-\frac{5}{4}x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 5/4

• Vertical Compression by a factor of 5/4

• Reflection over the x-axis

Compare the function

 $j\left(x\right)=-\frac{1}{3}x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 1/3

• Vertical Compression by a factor of 1/3

• Reflection over the x-axis

Compare the function

 $e\left(x\right)=-10x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 10

• Vertical Compression by a factor of 10

• Reflection over the x-axis

Compare the function

 $t\left(x\right)=-0.6x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 0.6

• Vertical Compression by a factor of 0.6

• Reflection over the x-axis

Compare the function

 $b\left(x\right)=12x$  to the parent function  $f\left(x\right)=x$  

• Vertical Stretch by a factor of 12

• Vertical Compression by a factor of 12

• Reflection over the x-axis