Question

I’m confused on this one

Answer 1

A(4 , -1) B(2, -3)

first, reflect over x-axis

A(4 , -1) B(2, -3) ---------> A'(4 , 1) B'(2, 3)

then, rotate 180

A'(4 , 1) B'(2, 3) ---------> A'(-4 , -1) B'(-2, -3)

Answer is C. A'(-4 , -1) B'(-2, -3)

Answer 2

Reflection through the x axis, y=0, maps (x,y)->(x,-y)

Rotation of 180 degrees maps (x,y)->(-x, -y)

So the composition maps (x,y) to (-x,y)

A(4,-1)->A"(-4,-1)

B(2,-3)->B"(-2,-3)

Choice c