Question

question
what is the image of (3, 0) 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 point \((x,y)\) dilated by scale factor \(k\) centered at origin, the image is \((kx,ky)\).

Step2: Apply formula to \((3,0)\)

Here, \(x = 3\), \(y = 0\), \(k=\frac{1}{3}\).
So, new \(x\)-coordinate: \(3\times\frac{1}{3}=1\), new \(y\)-coordinate: \(0\times\frac{1}{3}=0\).

Answer:

\((1, 0)\)