Question

question
what is the image of $(1,-3)$ after a dilation by a scale factor of 3 centered at the origin?
answer attempt 2 out of 2
score: 7/8 penalty: 1 off
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Explanation:

Step1: Apply dilation formula

For a point \((x,y)\) dilated by a scale factor \(k\) centered at the origin, the formula is \((kx,ky)\). Here \(x = 1\), \(y=-3\), and \(k = 3\).

Step2: Calculate new coordinates

Substitute values into the formula: \(kx=3\times1 = 3\) and \(ky=3\times(-3)=-9\).

Answer:

\((3,-9)\)