Question

question
what is the image of (0, -9) 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 \( (0, -9) \) and scale factor \( \frac{1}{3} \), we calculate the new \( x \)-coordinate: \( 0\times\frac{1}{3} = 0 \), and the new \( y \)-coordinate: \( -9\times\frac{1}{3}=-3 \).

Answer:

\((0, -3)\)