Answer:
C''(-2, 4)
Explanation:
For C(-5, 4) the first transformation gives you ...
C' = (-5, (1/2)·4) = (-5, 2) . . . . . . x-value unchanged; y-value halved
Then the second transformatin gives you ...
C'' = (-5 +3, 2 +2) = (-2, 4) . . . . x-value increased by 3; y-value increased by 2
So the transformed point appears to be ...
C''(-2, 4)
_____
Comment on poor problem wording
Ordinarily (a, b) ⇒ (c, d) means that b gets transformed to d. When you have b=f(y) and d=g(y), we don't know how to match b with d. We can assume g(y)=g(b), or we can go with b=f(y). In the latter case, we would have d = g(f^-1(b)). That is, we compute y from the value of b, then use that value of y to compute d. The problem statement seems to offer no basis for choosing one or the other except through the implication that the first transformation has an effect on the result overall.