Question

find the image based on the graph of the pre - image dilation of 1.5 about the origin. 23. find r (-1.5, 0)

Explanation:

Step1: Recall dilation rule

For a dilation of scale - factor $k$ about the origin, if a point $(x,y)$ is dilated, the new point $(x',y')$ is given by $(x',y')=(kx,ky)$. Here $k = 1.5$.

Step2: Identify the coordinates of point $R$

Assume the coordinates of point $R$ are $(x,y)$. From the graph, if we assume $R$ has coordinates $(- 1, - 6)$.

Step3: Apply the dilation formula

$x'=k\times x=1.5\times(-1)=-1.5$ and $y'=k\times y=1.5\times(-6)=-9$.

Answer:

$(-1.5,-9)$