Question

I know how to do everything except the #1 step

Answer 1

`A^(\doubleprime)(-6,-21),B^(\doubleprime)(6,-15)\text{ and C}^(\doubleprime)(-3,-12)`

Step-by-step explanation:

Given the coordinates A, B and C as follows:

`A(-3,4),B(1,2)\text{ and C(-2,1)}`

If a point is reflected across the x-axis, we have the transformation rule:

`(x,y)\to(x,-y)`

Thus, the image of A are:

`A(-3,-4),B(1,-2)\text{ and C(-2,-1)}`

Next, a translation by <1,-3>:

`\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}`

Finally, a dilation by K=3 gives the final image required:

`A^(\doubleprime)(-6,-21),B^(\doubleprime)(6,-15)\text{ and C}^(\doubleprime)(-3,-12)`