Question

Can someone explain the answer for me? I am seeming to not get it.

Answer 1

Answer:

(-4,1)

Step-by-step explanation:

1. Reflection in the y-axis- if we are only focusing on A then you have to make the x negative:

                           A (-4,1)     A' (4,1)

2. Reflection in the x-axis- make the y negative in the point A:

                          A' (4,1)    A'' (4,-1)

3. Rotate 180 degrees- (x,y) rotated 180 degrees is (-x,-y):

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

side note: if 1 is already negative than two negatives make a positive, which is why -1 becomes 1 after the 180 degree rotation