Question

Write the common rule to describe the translation using coordinate notation.

Point J is located at (-3, -4). Point J’ is located at (-4, -1).

Answer 1

The common rule is (x - 1, y + 3) can be used to describe the translation.

Step-by-step explanation:

Step 1:

The point J (-3, -4) becomes $J^{1}$ (-4, -1).

In order to write the rule for translation from J to $J^{1}$, we subtract the x coordinate of J from $J^{1}$ and subtract the y coordinate of J from $J^{1}$.

The x coordinate $= -4-(-3) = -4+3 = -1.$

The y coordinate $= -1-(-4) = -1+4 = 3.$

Step 2:

So from the calculations, we get that the x coordinate is subtracted by 1 i.e. $x-1$ and the y coordinate is increased by 3 i.e. $y+3$.

So the common rule is (x - 1, y + 3).