Can someone please help me with math. I know the pic is blurry but can you try your best please.

C

Step-by-step explanation:

Step 1, Identify the coordinates of each vertices

A ( -2 , 3 )

B ( 1 , 3 )

C ( 3 , -6 )

D ( -4 . -6 )

Step 2 apply dilation.

To apply the dilation we multiply the x and y values by the scale factor. ( assuming that the dilation is about the origin. )

The scale factor is 2 so we multiply the x and y values of the coordinates by 2, which is as simple as it sounds.

A ( -2 , 3 ) > A' ( -4 , 6 )

B ( 1 , 3 ) > B' ( 2 , 6 )

C ( 3 , -6 ) > C' ( 6 , -12 )

D ( -4 , -6 ) > D' ( -8 , -12 )

Hence the new coordinates are A' ( -4, 6 ), B' ( 2 , 6 ), C' ( 6 , -12 ), D' ( -8 , -12) Which corresponds with answer choice C