Question

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

Explanation:

Step1: Multiplicar la coordenada x por el factor de escala

Multiplicamos la coordenada \(x = 12\) por \(\frac{1}{4}\): \(12\times\frac{1}{4}=3\)

Step2: Multiplicar la coordenada y por el factor de escala

Multiplicamos la coordenada \(y = 4\) por \(\frac{1}{4}\): \(4\times\frac{1}{4}=1\)

Answer:

\((3,1)\)