Question

ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?

A′(-3, 3), B′(-1, 1), C′(-2, 3)

A′(3, -3), B′(1, -1), C′(2, -3)

A′(3, -5), B′(1, -7), C′(3, -5)

A′(-3, 3), B′(-1, 1), C′(-2, -3)

Answer 1

across the x-axis becomes (x, -y)
4 units up becomes (y + 4)
reflect then up means (x, y) becomes (x, -y + 4)

Answer 2

cannot check where it is now if I don't know where it is coming from.
you did not give the coordinates of ABC!!
for each point (x, y) apply (x, -y +4) and compare with the options given