Answer:
±1, ±11, ±1/5, ±11/5
Step-by-step explanation:
f(x) = 5x³ - 7x + 11
constant term: 11
leading coefficient: 5
factors of the constant term: ±1, ±11
factors of the leading coefficient: ±1, ±5
possible rational roots = factors of the constant term/factors of the leading coefficient = ±1, ±11, ±1/5, ±11/5
A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)
B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)
C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)
Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).
