Answer:
See Below
Step-by-step explanation:
Ok, so you have point A (-4,3)
To get point B, you rotate 180 degrees around the origin
Point A is in Quadrant 2, So . . Point B is in Quad 4
Quad 4 (+, -) (switch the signs) Point B (4,-3)
Now Point C
Point C is the image of A after a translation two units to the right, then a reflection using the x-axis.
So add two to the x (-4 +2, 3) = (-2,3)
Now, to reflect over the x-axis you switch the sign for the y
Point C (-2,-3)
Last one, Point D
Point D is the image of A after a reflection using the y-axis, then a translation two units to the right.
To reflect over the y-axis, you switch the signs for the x
(4,3)
Now add 2 to the x
(4+2, 3) = Point D (6,3)
A (-4,3) B(4,-3) C (-2,-3) D (6,3)