L′(3,2), M′(0,2), N′(0,–2), O′(3,–2)
Step-by-step explanation
Step 1
plot the rectangle
Step 2
make the indicated transformations
a)
first reflect this rectangle across the y-axis:
The rule for the reflection around the Y axis is you basically just put a "negative" in front of the X coordinates of each point
so
Let

then

b) Then, translate it down four units and to the left one unit
To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b)
, if the traslation is down a is negative, if the translation is to the left, b is negative
hence
i) subtract 4 to the y-coordinate
ii)subtract 1 unit from x -axis ,so

therefore,

so,
the answer is
L′(3,2), M′(0,2), N′(0,–2), O′(3,–2)
I hope this helps you