Question

What does the following translation rule mean? (x+3, y-5) *
O
Move left 5 and up 3
Plot the point (3,-5)
Move upside down 3 and a little to the left 5
Move right 3 and down 5

Answer 1

Answer: D) move right 3, down 5

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Explanation:

The x+3 means "move right 3". We add 3 to whatever the x coordinate is.

For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.

Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).

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Extra info:

We can write the translation rule as $(x,y) \to (x+3, y-5)$

With this notation, we can then say something like this for example

$(x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)$

Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".