AABC is reflected across the x-axis and then translated 4 units up to create AA'BC. What are the coordinates of the vertices of AABC? OA A'(-3, 3), B(-1, 1). C(-2.3)
ОВ.
A'(3.-3), B(1,-1), C(2.-3)
OC. A'(3.-5), B(1, -7), C(3.-5)
OD. A'(-3, 3), B(-1, 1), C(-2,-

A

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A(- 3, 1 ) → (- 3, - 1 )

B(- 1, 3 ) → (- 1, - 3 )

C(- 2, 1 ) → (- 2, - 1 )

A translation of 4 units up means adding 4 to the y- coordinate

( - 3, - 1 ) → A' (- 3, - 1 + 4 ) → A' (- 3, 3 )

(- 1, - 3 ) →B' (- 1, - 3 + 4 ) → B' (- 1, 1 )

(- 2, - 1 ) → C' (- 2, - 1 + 4 ) → C' (- 2, 3 )

where's the diagram?

step-by-step explanation: