A dilation has center (0,0). Find the image of the point L(- 5,0) for the scale factor 9.

Answer :

We can find the new point using the following formula:

[tex]D_{o,k}\left(x,y\right)=\left(kx,ky\right)[/tex]

Where:

k = Scale factor = 9

Therefore:

[tex]L\lparen-5,0)\rightarrow\left(9x,9y\right)\rightarrow L^{\prime}\lparen-45,0)[/tex]

Answer:

L' = (-45,0)