describe the translation that maps each preimage to its image in (a) coordinate notation and (b) as a vector in component form?

a) The transformation rule in coordinate notation is [tex](x',y') = (x-4, y-3)[/tex].
b) The transformation rule in coordinate notation is [tex]\vec v = \vec w + (-4\,\hat{i}-3\,\hat{j})[/tex].
According the image, we see a translation, a kind of rigid transformation. The quadrilateral [tex]WXYZ[/tex] is transformed into quadrilateral [tex]W'X'Y'Z'[/tex] by translating 4 units in [tex]-x[/tex] direction and 3 units in [tex]-y[/tex] direction.
a) The transformation rule in coordinate notation is [tex](x',y') = (x-4, y-3)[/tex]. [tex]\blacksquare[/tex]
b) The transformation rule in coordinate notation is [tex]\vec v = \vec w + (-4\,\hat{i}-3\,\hat{j})[/tex]. [tex]\blacksquare[/tex]
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