The points A(3, 2), B(-3, 2), C(-3, -2), D(3, -2); A(3, 2), B(-3, 2), C(-3, -2), D(3, -2), represent the vertices of a polygon. Use matrix addition to find the coordinates of the image after a translation 2 units left and 4 units down. Graph the pair of figures on the same coordinate plane.

SOLUTION

The coordinates $(x; y)$ after a translation 2 units left and 4 units down move to $(x - 2; y - 4)$

$A(3;2)\to X(1; - 2)$

$B(-3;2)\to Y(-5; - 2)$

$C(-3; - 2)\to Z(-5; - 6)$

$D(3;2)\to T(1; - 6)$