Help me plz asap

Question

What is the image point of (9,−1) after the transformation T−4,−3∘R270∘

Answer 1

Hi Nicole,

you have a composition of transformations. The order in which you do this is important: you have to do this from right to left

so first perform the Rotation of 270, then you would translate(-4,-3)

When you rotate a point P(x,y) 270 degrees clockwise you should get P’(y,-x)

so (9,-1) would become ( -1,-9)

Next you translate this point by -4,-3 which means your new coordinates would be P’’(x’-4,y’-3)

you would get P’’( -5,-12)

hope this helps!