Answer:
[tex]A^{\doubleprime}(-6,-21),B^{\doubleprime}(6,-15)\text{ and C}^{\doubleprime}(-3,-12)[/tex]
Explanation:
Given the coordinates A, B and C as follows:
[tex]A(-3,4),B(1,2)\text{ and C(-2,1)}[/tex]
If a point is reflected across the x-axis, we have the transformation rule:
[tex](x,y)\to(x,-y)[/tex]
Thus, the image of A are:
[tex]A(-3,-4),B(1,-2)\text{ and C(-2,-1)}[/tex]
Next, a translation by <1,-3>:
[tex]\begin{gathered} A(-3+1,-4-3),B(1+1,-2-3)\text{ and C(-2+1,-1-3)} \\ A(-2,-7),B(2,-5)\text{ and C}(-1,-4) \end{gathered}[/tex]
Finally, a dilation by K=3 gives the final image required:
[tex]A^{\doubleprime}(-6,-21),B^{\doubleprime}(6,-15)\text{ and C}^{\doubleprime}(-3,-12)[/tex]
