The vertices of triangle XYZ are X(10, 15), Y(30, 40), and Z (70, 30). Find the image of each vertex after the translation. (x, y) → (x + 6, y – 8)

The correct answer is: X’(16, 7), Y’(36, 32), Z’(76, 22)

The translation given is (x, y) → (x + 6, y – 8), means x is increased by  and y is decreased by  in their respective directions. The given coordinates are X(), Y(), and Z ()
Step1: The new coordinates after translation will be

So, the new X will be 

So, the new Y will be 

So, the new Z will be .
Step2:  Calculating the image of the vertex.
Images of vertex points of the triangle are:
X’ (), Y’ (), Z’ ()