Question

what is the image of (9, 3) after a dilation by a scale factor of \\(\frac{1}{3}\\) centered at the origin? answer attempt 1 out of 2 (\\(\square\\), \\(\square\\)) submit answer

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 \( (9, 3) \) and scale factor \( \frac{1}{3} \), we calculate the new \( x \)-coordinate: \( 9\times\frac{1}{3}=3 \), and the new \( y \)-coordinate: \( 3\times\frac{1}{3}=1 \).

Answer:

\((3, 1)\)