Question

22 Points!! I NEED Help ASAP plz!!!!

Answer 1

I did it 4 times and got B everytime.

sorry if its wrong :(

Answer 2

Answer:

The correct option is B.

Step-by-step explanation:

The vertices of preimage are L(2,-2), M(4,-2), N(1,-3) and O(5,-3).

The vertices of image are L'(-3,-2), M'(-3,-4), N'(-4,-1) and O'(-4,-5).

The relationship between preimage and image is defined as

$(x,y)\rightarrow (y-1,-x)$

In option A, 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left.

If a figure rotated 90-degree counterclockwise, then

$(x,y)\rightarrow (-y,-x)$

Translation 1 unit to the left,

$(x,y)\rightarrow (-y-1,-x)$

Therefore option A is incorrect.

In option B, 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left.

$(x,y)\rightarrow (y-1,-x)$

Therefore option B is correct.

In option C,  a translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin.

$(x,y)\rightarrow (y,-(x-1))$

Therefore option C is incorrect.

In option D, a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin.

$(x,y)\rightarrow (-y,x-1)$

Therefore option D is incorrect.