In this exercise, two transformations have been performed to the figures. We will start by describing the transformation from the preimage â–ł ABC to the image â–ł A'B'C'.
Transformation from â–ł ABC to â–ł A'B'C'
We can see in the given graph that â–ł A'B'C' is a translation left 1 unit, and up 8 units of â–ł ABC.
From the given graph we see that â–ł A''B''C'' is a reflection in the y-axis of the graph of â–ł A'B'C'.
Keep in mind that reflection in the y-axis affects the x-coordinate. Let's write the transformation from â–ł A'B'C' to the image â–ł A''B''C''.
(x,y)→( -x,y)
Therefore, we have found that the transformation used to map â–ł A''B''C'' is a reflection in y-axis.
