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2. Graph the image of Parallelogram WXYZ under a translation 4 units to the left and 6 units up

2. Graph the image of Parallelogram WXYZ under a translation 4 units to the left and-example-1
User Rui Botelho
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1 Answer

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Translation 4 units to the left transforms the point (x, y) into (x-4, y). Applying this rule to the parallelogram WXYZ, we get:

W(0, -2) → (0-4, -2) →W'(-4, -2)

X(2, -2) → (2-4, -2) → X'(-2, -2)

Y(2, -5) → (2-4, -5) → Y'(-2, -5)

Z(0, -5) → (0-4, -5) → Z'(-4, -5)

Translation 6 units up transforms the point (x, y) into (x, y+6). Applying this rule to the parallelogram W'X'Y'Z', we get:

W'(-4, -2) → (-4, -2+6) → W''(-4, 4)

X'(-2, -2) → (-2, -2+6) → X''(-2, 4)

Y'(-2, -5) → (-2, -5+6) → Y''(-2, 1)

Z'(-4, -5) → (-4, -5+6) → Z''(-4, 1)

Where the parallelogram W''X''Y''Z'' is the image of Parallelogram WXYZ translated 4 units to the left and 6 units up, as can be seen in the next graph:

2. Graph the image of Parallelogram WXYZ under a translation 4 units to the left and-example-1
User HenrikS
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