Question

question
the figure below is dilated with the center of dilation at the origin and a scale factor of 1/2. what are the coordinates of the image of point w after this transformation?

Explanation:

Step1: Determine the original coordinates of point W

From the graph, the coordinates of point W are \((2,-8)\).

Step2: Apply the dilation formula

When a point \((x,y)\) is dilated with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the formula for the image of the point is \((kx,ky)\). Here \(k = \frac{1}{2}\), \(x = 2\) and \(y=-8\).

$$
LATEXBLOCK0
$$

$$
LATEXBLOCK1
$$

Answer:

\((1,-4)\)