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Quadrilateral A′B′C′D′ is obtained by a reflection across the y-axis of quadrilateral ABCD, followed by a translation 3 units to the left and 3 units down. Create a function modeling the reflection and the translations. f(x, y) = (, )

Quadrilateral ABCD is obtained by a reflection across the yaxis of quadrilateral ABCD followed by a translation 3 units to the left and 3 units down Create a fu class=

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danielmaduroh

Let's solve this problem step by step.


FIRST. Quadrilateral A′B′C′D′ is obtained by a reflection across the y-axis of quadrilateral ABCD


When we reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes in sign. So:

(x, y) → (-x, y)


SECOND. Followed by a translation 3 units to the left and 3 units down.

To translate a point 3 units to the left subtract 3 from the x-coordinate and to translate a point 3 units down subtract 3 from the y-coordinate. Therefore, the function we are looking for is:


f(x, y) = (-x - 3, y - 3)

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