Quadrilateral MNPQ has vertices M(0, 6), N(4, 4), P(6, −1), and Q(2, 0). Determine the coordinates of the vertices of the image of the quadrilateral after the translation (x, y)→(x−1, y+5).

Question

The coordinates of the vertices of the image after the translation are (−1, 11), (3, 9), (, ), and (, ).

Answer 1

The rule given, (x ,y ),-> (x-1 , y+5 ) is telling you to subtract 1 from each x which is the first number in the point and you are to add 5 to each y which is the second number in each point.

M( 0 , 6. ) N ( 4. 4 ). P ( 6 , -1 ). A ( 2 , 0 )

-1 +5. -1 +5. -1 +5. -1 +5_

_________ _______ ______ ________

M' (-1, 11) N' ( 3, 9) P' ( 5 , 4) A' ( 1, 5 )