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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

User Nsk
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1 Answer

5 votes

Answer:

(0, 4) (-4, 3) (-4, 4)

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)

User Gavz
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5.9k points