Video: Understanding the Effect of Translation to a Point

The coordinate of point 𝐴 and its image 𝐴′ after a translation are illustrated in the graph below. Describe this translation in words.

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Video Transcript

The coordinate of point 𝐴 and its image 𝐴 prime after a translation are illustrated in the graph below. Describe this translation in words.

Here, we have point 𝐴. It would be called the preimage. And here, we have the point 𝐴 prime. And prime is that little tick symbol to the top right of 𝐴 and it would be considered the image. So in the translation, we are going from the preimage to the image. So how did we get there?

Any translation we can move up and down and left and right. So we just need to count how much did we move. Beginning at 𝐴, we need to move a total of 12 units to the right. And from there, we need to move four units up. So to put this in our own words, we can describe this translation by saying 12 units right and four units up.

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