Question Video: Finding the Image of a Point under a Translation | Nagwa Question Video: Finding the Image of a Point under a Translation | Nagwa

# Question Video: Finding the Image of a Point under a Translation Mathematics • First Year of Preparatory School

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Which of the following figures represents the image of point πΆ(0, β4) after a translation with magnitude π΄π΅ in the direction of π΄π΅, where π΄(1, 4) and π΅(3, β1)? [A] Figure A [B] Figure B [C] Figure C [D] Figure D

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### Video Transcript

Which of the following figures represents the image of point πΆ zero, negative four after a translation with magnitude π΄π΅ in the direction of π΄π΅, where π΄ has coordinates one, four and π΅ has coordinates three, negative one?

Letβs plot the points that we have been given. We can now draw in the vector π΄π΅. This vector travels two units to the right and five units down. Letβs apply this transformation to point πΆ. The image of the transformation is the point πΆ prime, which has coordinates two, negative nine. This corresponds to option (C).

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