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translation of the point (1, -2) to the coordinates of its image. 3 uni…

Question

translation of the point (1, -2) to the coordinates of its image.
3 units left
(1,1)
3 units right
(-2, -2)
3 units up
(1, -5)
3 units down
(4, -2)

Explanation:

Step1: Translate 3 units left

Subtract 3 from x-coordinate:
$(1-3, -2) = (-2, -2)$

Step2: Translate 3 units right

Add 3 to x-coordinate:
$(1+3, -2) = (4, -2)$

Step3: Translate 3 units up

Add 3 to y-coordinate:
$(1, -2+3) = (1, 1)$

Step4: Translate 3 units down

Subtract 3 from y-coordinate:
$(1, -2-3) = (1, -5)$

Answer:

  • 3 units left $

ightarrow (-2, -2)$

  • 3 units right $

ightarrow (4, -2)$

  • 3 units up $

ightarrow (1, 1)$

  • 3 units down $

ightarrow (1, -5)$