Question

What is the image of (3, -5) after a dilation by a scale factor of 5 centered at theorigin?

Answer 1

A dilation by a factor "a" centered at the origin follows the next rule:

$d_a(x,y)=(ax,ay)$

in this case "a = 5", replacing the point we get:

$d_5(3,-5)=(15,-25)$