Question

1. find the image of point w(-3,2), for the given d4( w ).

Explanation:

Step1: Recall dilation formula

For a dilation $D_k(x,y)=(kx,ky)$ with a scale - factor $k$. Here $k = 4$, $x=-3$ and $y = 2$.

Step2: Calculate the x - coordinate of the image

Multiply the x - coordinate of the original point by the scale - factor. So, $x'=4\times(-3)=-12$.

Step3: Calculate the y - coordinate of the image

Multiply the y - coordinate of the original point by the scale - factor. So, $y'=4\times2 = 8$.

Answer:

$(-12,8)$