Question

question
what is the image of $(-7,5)$ 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 the dilation formula

For a point $(x,y)$ dilated by a scale factor $k$ centered at the origin, the image is $(kx,ky)$.

Step2: Substitute the values

Here $x = - 7$, $y = 5$, and $k = 3$.
So, $kx=3\times(-7)=-21$ and $ky = 3\times5 = 15$.

Answer:

$(-21,15)$