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
(\square, \square)

Explanation:

Step1: Recall dilation rule

For a dilation centered at the origin with scale factor \( k \), the image of a point \( (x, y) \) is \( (k \cdot x, k \cdot y) \). Here, \( k=\frac{1}{4} \), \( x = 12 \), \( y = 4 \).

Step2: Calculate x - coordinate of image

Multiply \( x = 12 \) by \( \frac{1}{4} \): \( \frac{1}{4}\times12 = 3 \).

Step3: Calculate y - coordinate of image

Multiply \( y = 4 \) by \( \frac{1}{4} \): \( \frac{1}{4}\times4 = 1 \).

Answer:

\( (3, 1) \)