Given △ B O Y has been transformed under the translation: T − 3 , 6 to form image at B′ ( − 5,2 ) , O′ ( 3,0 ) , Y′ ( 10,7 ) . Find the coordinates of the preimage.

Step-by-step explanation:

Given

Required

Determine the coordinates of B, O and Y

Recall that the given translation is:

Calculating the x coordinates of B:

Where

This gives

Calculating the y coordinates of B:

This gives

Hence:

Calculating the x coordinates of O:

Where

This gives

Calculating the y coordinates of O:

This gives

Hence:

Calculating the x coordinates of Y:

Where

This gives

Calculating the y coordinates of Y:

This gives

Hence: