Question

Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2, 4), K(4, 4), P(3, 2); k = 2

Answer 1

Applying a dilation centered at the origin with scale factor $k$ has the effect of multiplying both coordinates of a point by $k$:

$(x,y)\mapsto (kx,ky)$

So, in your case, the coordinates of the points double:

$J'=(4,8),\quad K'=(8,8),\quad P'=(6,4)$