Question

question what is the image of (12,4) after a dilation by a scale factor of \\(\frac{1}{4}\\) centered at the origin? answer attempt 1 out of 2

Explanation:

Step1: Recall dilation formula

For a dilation centered at the origin with scale factor \( k \), the image of a point \( (x, y) \) is \( (kx, ky) \).

Step2: Apply the formula

Given the point \( (12, 4) \) and scale factor \( \frac{1}{4} \), we calculate the new \( x \)-coordinate: \( 12\times\frac{1}{4}=3 \), and the new \( y \)-coordinate: \( 4\times\frac{1}{4}=1 \).

Answer:

\((3, 1)\)