We want to plot the point (2,-4) and apply a transformation to it. Then, we want to plot the resulting point after translating it.
The transformation is a translation of 4 units to the left and 3 units down. The x coordinate is related to the horizontal positions (and movements) and the y coordinate is related to the vertical positions (and movements).
So, a translation 4 units to the left means that we will subtract 4 to the x coordinate and a translation of 3 units down means that we will subtract 3 to the y coordinate.
So we have
So we want to plot points (2,-4) and (-2,-7).
Thus, we plot as follows