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

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

Here, the point is \( (-3, 0) \) and the scale factor \( k=\frac{1}{3} \). So we calculate the new \( x \)-coordinate: \( \frac{1}{3}\times(-3)= - 1 \), and the new \( y \)-coordinate: \( \frac{1}{3}\times0 = 0 \).

Answer:

\((-1, 0)\)