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If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis
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If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -axis
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Mathematics
3 years
2021-08-24T04:26:28+00:00
2021-08-24T04:26:28+00:00 1 Answers
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Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP – Add to the y-coordinate.
Units DOWN – Subtract from the y-coordinate.
Units RIGHT – Add to the x-coordinate.
Units LEFT – Subtract from the x-coordinate.
————————————————————————————————————–
In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
————————————————————————————————————–Now it’s time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)