Question

Analyze the pre-image ABCD. What are the vertices of the final image if T-1, -2 •Ty=x is applied to figure ABCD? B"(3, 2) D - 2 2​

Answer 1

In Mathematics, it is possible to describe a graph as a pictographic depiction of a chart that helps to shape represents data or values, and in this question, the missing graph is defined in the attachment, and the solution can be defined as follows:

• In the first place, we reflect on y=x.
• The X and Y coordinates are changed in this reflection, which is given in the map:

                         $A(2, 4)\to A'(4, 2)\\\\B(4, 4)\to B'(4, 4)\\\\C(3, 2) \to C'(2, 3) \\\\D(1, 2)\to D'(2, 1)$

• We're doing the translation next.
• The translation shifts figure 1 from the left and 2 from the y-coordinate by removing one at the x-coordinate and two that are:

                 $A'(4, 2)\to A''(3, 0) \\\\B'(4, 4)\to B''(3, 2) \\\\C'(2, 3)\to C''(1, 1)\\\\D'(2, 1)\to D''(1, -1)$

Therefore the final answer is "A''(3, 0); B''(3, 2); C''(1, 1); D''(1, -1)"

• please find the image file into the attachment.

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