Question

write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the origin.

Explanation:

Step1: Identify original coordinates

The original coordinates of point $P$ are $(- 2,-2)$.

Step2: Apply dilation formula

For a dilation centered at the origin with scale - factor $k$, if the original point is $(x,y)$, the new point $(x',y')$ is given by $(x',y')=(kx,ky)$. Here $k = 4$, $x=-2$, $y = - 2$. So $x'=4\times(-2)=-8$ and $y'=4\times(-2)=-8$.

Answer:

$P'(-8,-8)$