Answer:
The vertices of image are (-48,48), (24,24) and (72,96).
Step-by-step explanation:
From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).
The scale factor is 12 and the dilation is about the origin.
If a figure is dilated about the origin with scale factor k, then
![(x,y)\rightarrow (kx,ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28kx%2Cky%29)
Since the scale factor is 12.
![(x,y)\rightarrow (12x,12y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%2812x%2C12y%29)
The vertices of image are
![(-4,4)\rightarrow (-48,48)](https://tex.z-dn.net/?f=%28-4%2C4%29%5Crightarrow%20%28-48%2C48%29)
![(2,2)\rightarrow (24,24)](https://tex.z-dn.net/?f=%282%2C2%29%5Crightarrow%20%2824%2C24%29)
![(6,8)\rightarrow (72,96)](https://tex.z-dn.net/?f=%286%2C8%29%5Crightarrow%20%2872%2C96%29)
Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.