Question

11 perform a dilation with scale factor $k = \frac{1}{2}$ about the origin to the point below. pre - image: $c(2, - 8)$ image: $c$( , )

Explanation:

Step1: Multiply x - coordinate

Multiply the x - coordinate of the pre - image by the scale factor. The x - coordinate of point C is 2, and the scale factor $k=\frac{1}{2}$. So, $2\times\frac{1}{2}=1$.

Step2: Multiply y - coordinate

Multiply the y - coordinate of the pre - image by the scale factor. The y - coordinate of point C is - 8, and the scale factor $k = \frac{1}{2}$. So, $-8\times\frac{1}{2}=-4$.

Answer:

$(1,-4)$