Answer:
The correct choice is [tex]T'(-16,8)[/tex]
Step-by-step explanation:
The mapping for a dilation by a scale factor of k is:
[tex](x,y)\to (kx,ky)[/tex]
If a figure is dilated by a scale factor of 4, then k=4.
To find the coordinates of the image of T(-4,2), we substitute x=-4 and y=2 into the rule to obtain:
[tex]T(-4,2)\to T'(4x\times -4,4\times2)[/tex]
[tex]\implies T(-4,2)\to T'(-16,8)[/tex]
The correct choice is [tex]T'(-16,8)[/tex]
