Graph the image of the given triangle after the transformation that has the rule (x, y)→(−x, −y) .

Answer:
By the given graph,
The vertices of the triangle are,
(7,4), (-2,5) and (6,7),
Given rule of transformation,
[tex](x,y)\rightarrow (-x,-y)[/tex]
Thus, under this transformation, the vertices of the transformed triangle would be,
(-7,-4), (2, -5) and (-6,-7)
Plot these points on the given graph,
After joining them we will get the graph of the transformed triangle ( shown below )