Question

what is the image of (8, -8) after a dilation by a scale factor of 1/4 centered at the origin? answer attempt 1 out of 2

Explanation:

Step1: Multiply the x - coordinate by the scale factor

When a point \((x,y)\) is dilated by a scale factor \(k\) centered at the origin, the new \(x\) - coordinate is \(x\times k\). Here, \(x = 8\) and \(k=\frac{1}{4}\), so \(8\times\frac{1}{4}=2\).

Step2: Multiply the y - coordinate by the scale factor

The new \(y\) - coordinate is \(y\times k\). Here, \(y=-8\) and \(k = \frac{1}{4}\), so \(-8\times\frac{1}{4}=-2\).

Answer:

\((2,-2)\)