Exercise 1 Page 225

Before we attempt to translate the given points, let's draw the triangle $△RST$ on a coordinate plane using the given points.

We can now draw segments between the points to form the triangle.

Now that we have the preimage, we can create the image using the translation $(x,y)\to (x-4,y+1).$ This translation tells us that for every point in $△RST,$ we should subtract $4$ from the $x\text{-}$coordinate and add $1$ to the $y\text{-}$coordinate. Now we have the points for the image. Let's add them to the same coordinate plane as the preimage.

We can see that the translation moved the points to the left and up. Finally, we can connect the points to have the new triangle.