Question

question
what is the image of (3, -9) after a dilation by a scale factor of 3 centered at the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale factor $k$, if the original point is $(x,y)$, the new point $(x',y')$ is given by $(x',y')=(k\cdot x,k\cdot y)$.

Step2: Substitute values

Here $k = 3$, $x = 3$ and $y=-9$. So $x'=3\times3 = 9$ and $y'=3\times(-9)=-27$.

Answer:

$(9,-27)$