Question

question
the image of the point (-9,0) under a translation is (-12,-4). find the coordinates of the image of the point (-1,-2) under the same translation.
answer
attempt 1 out of 2
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Explanation:

Step1: Determine translation rule

The translation from $(-9,0)$ to $(-12,-4)$ means we subtract 3 from the x - coordinate ($-9-(-12)=3$) and subtract 4 from the y - coordinate ($0 - (-4)=4$). The translation rule is $(x,y)\to(x - 3,y - 4)$.

Step2: Apply rule to new point

For the point $(-1,-2)$, applying the rule:
The new x - coordinate is $x=-1-3=-4$.
The new y - coordinate is $y=-2 - 4=-6$.

Answer:

$(-4,-6)$