Question

question
what is the image of (12,8) after a dilation by a scale factor of \\( \frac{1}{4} \\) centered at the origin?
answer

Explanation:

Step1: Multiply x - coordinate by scale factor

Multiply \(12\) by \(\frac{1}{4}\): \(12\times\frac{1}{4}=\frac{12}{4} = 3\)

Step2: Multiply y - coordinate by scale factor

Multiply \(8\) by \(\frac{1}{4}\): \(8\times\frac{1}{4}=\frac{8}{4}=2\)

Answer:

\((3,2)\)