Step-by-step explanation:
f(0) = 0 , f(2) = -4 , f(4) = -2
0 = f(2x) → f(0) = f(2x) → x = 0 (0,0)
-4 = f(2x) → f(2) = f(2x) → x = 1 (1,-4)
-2 = f(2x) → f(4) = f(2x) → x = 2 (2,-2)
shape of the graph remain without change in vertical axis , but it is compressed in the horizontal direction.