Question

what are the coordinates of the image P for a dilation with center (0,0) and a scale factor 2? answer choices :• (2,0) • (0,6)• (-4, 2)• (0,5)

Answer 1

Rule for a dilation with center (0,0)

`(x,y)\rightarrow(kx,ky)`

k is the scale factor.

For point P (0,3):

`\begin{gathered} P(0,3)\rightarrow P^(\prime)(2(0),2(3)) \\ P(0,3)\rightarrow P^(\prime)(0,6) \end{gathered}`Then the coordiantes of point P after the dilation are (0,6)