Composition of Transformations

Question

What is the image point of (0,−5) after the transformation D1/2​​∘T2,−1​?

Answer 1

First do the translation, then do the dilation:

T_2,-1(0,-5) = (2, -6)

D_1/2(2,-6) = (1, -3)

(0,-5)→(2,-6)→(1,-3)