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Find the units of displacement (translation) of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Step by step answer please.

User Robinst
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Answer:

The rule of the translation will be:

(x, y) → (x+3, y+5)

Explanation:

Translation of an object is basically termed as "sliding" the original. If the image is moved right by the 'c' units, the 'c' unit(s) are added to the x-coordinate and if the image is moved left by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

And If the image is moved up by the 'c' units, the 'c' unit(s) are added to the y-coordinate and if the image is moved down by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

As the point is (4, 2)

The image of the point is (7, 7)

As the coordinates of the image point indicate that 3 units are added to the x-coordinate of the original point, and 5 units are added to the ý-coordinate.

Hence, the image will be move 3 units to the right and 5 units up.

Therefore, the rule of the translation will be:

(x, y) → (x+3, y+5)

as

(4, 2) → (x+3, y+5) = (4+3, 2+5) = (7, 7)

User Sachingupta
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