A transformation takes a set of points called the pre-image and transform them into a new set called the image. The first transformation in this problem is the following:
[tex](x,y)\rightarrow(x+2,y)[/tex]
This transformation implies adding 2 to the x-value of each of the point in the pre-image. By doing so, these points are moved two units to the right which means that the 1st transformation is a translation.
The second transformation is:
[tex](x,y)\rightarrow(x,-y)[/tex]
This one implies multiplying each y-value by -1. This basically means that the transformation reflects the points about the x-axis.
Then the answers are:
1st Translation of 2 units to the right
2nd Reflcetion about the x-axis
