Question

Show your work ...............

Answer 1

Answer:

Image:

W"(-3,-2), X"(-1,-5), Y"(0,-4)

Step-by-step explanation:

Given points:

W(2,0) , X(4,3), Y(5,2)

Transformation sequence:

$(x,y)\rightarrow(x,-y)\rightarrow(x-5,y-2)$

To find image after the transformation.

First transformation:

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

The given transformation shows reflection on x-axis.

$W(2,0)\rightarrow W'(2,0)$

$X(4,3)\rightarrow X'(4,-3)$

$Y(5,2)\rightarrow Y'(5,-2)$

Second transformation:

$(x,y)\rightarrow(x-5,y-2)$

The given transformation shows translation of 5 units to the left and 2 units down.

$W'(2,0)\rightarrow W''(2-5,0-2)=(-3,-2)$

$X'(4,-3)\rightarrow X"(4-5,-3-2)=(-1,-5)$

$Y'(5,-2)\rightarrow Y"(5-5,-2-2)=(0,-4)$

Image:

W"(-3,-2), X"(-1,-5), Y"(0,-4)