In order to calculate a translation to the right, we need to add the value to the x-coordinate of the points, and to calculate a translation up, we need to add the value to the y-coordinate of the points.
So, to calculate a translation of 8 units to the right and 7 units up, let's add 8 to the x-coordinates and 7 to the y-coordinates:
[tex]\begin{gathered} A(-6,-11)\\ \\ A^{\prime}(-6+8,-11+7)=A^{\prime}(2,-4)\\ \\ \\ \\ B(-12,-11)\\ \\ B^{\prime}(-12+8,-11+7)=B^{\prime}(-4,-4)\\ \\ \\ \\ C(-12,-17)\\ \\ C^{\prime}(-12+8,-17+7)=C^{\prime}(-4,-10) \end{gathered}[/tex]
