11) We have the vertices F(-2,2), G(-2,-4) and H(-4,-4).
We have to apply a dilation with center at (0,0) and a factor of dilation of k = 3.
A dilation with center at (0,0) has the following rule:
[tex](x,y)\to(kx,ky)=(3x,3y)[/tex]
Then, we can apply this rule to the three vertices as:
[tex]\begin{gathered} F=(-2,2)\to F^{\prime}=(3(-2),3(2))=(-6,6) \\ G=(-2,-4)\to G^{\prime}=(3(-2),3(-4))=(-6,-12) \\ H=(-4,-4)\to H^{\prime}=(3(-4),3(-4))=(-12,-12) \end{gathered}[/tex]
We can then graph the pre-image and the image as:
