Given:
The rule of transformation is:
![(x,y)\to (y,x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kg721hu4i7ctvuffrovl7inazbxmy8q4pe.png)
The three points are A(-2,1), B(4,-3), C(-2,-4).
To find:
The image for the given points using the given rule.
Solution:
The three points are A(-2,1), B(4,-3), C(-2,-4).
The rule of transformation is:
![(x,y)\to (y,x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kg721hu4i7ctvuffrovl7inazbxmy8q4pe.png)
Using this rule, we get
![A(-2,1)\to A'(1,-2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/nzyyxczaf94b4pbu1ij2jqv1sa7ngdjdjd.png)
![B(4,-3)\to B'(-3,4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/t9ojplvtaiv5wfnq1ikasf9bsp2kc7cv4n.png)
![C(-2,-4)\to C'(-4,-2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/xbhx4wcgtzs3e9thbntunalwefj2qb6i52.png)
The image of given points are A'(1,-2), B'(-3,4), C'(-4,-2). Therefore, the correct option is B.