Question

question
what is the image of $(-8,-4)$ after a dilation by a scale factor of $\frac{1}{4}$ centered at the origin?
answer attempt 1 out of 2
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Explanation:

Step1: Apply the dilation formula

For a point \((x,y)\) dilated by a scale factor \(k\) centered at the origin, the new point is \((kx,ky)\). Here \(x=-8\), \(y = - 4\), and \(k=\frac{1}{4}\).

Step2: Calculate the new \(x\)-coordinate

Multiply the original \(x\)-coordinate by the scale factor: \(\frac{1}{4}\times(-8)=-2\).

Step3: Calculate the new \(y\)-coordinate

Multiply the original \(y\)-coordinate by the scale factor: \(\frac{1}{4}\times(-4)=-1\).

Answer:

\((-2,-1)\)