Question

Plot the image of point P under a translation by 5 units to the left and 3 units up.

Answer 1

In order to translate 5 units to the left and 3 units up, we need to decrease 5 units of the x-coordinate and increase 3 units of the y-coordinate.

Looking at the graph, the coordinates of point P are (3, -4).

So, subtracting 5 units from the x-coordinate and adding 3 units to the y-coordinate, we have:

`\begin{gathered} P(3,-4)\\ \\ P^(\prime)(3-5,-4+3)=P^(\prime)(-2,-1) \end{gathered}`

Therefore the image of point P after the translation is located at (-2, -1).