Answer:
C)
![(px,py)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/41anxdzo0a3jtxvpmy9mnxt05mwmgz9wza.png)
Explanation:
When we are dilating an image about the origin we need to multiply the scalar factor to each x and y co-ordinates of pre-image to get the co-ordinates of the transformed image.
Since scalar factor is
, so we multiply the
and
with
.
Pre-image
Image
![(px,py)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/41anxdzo0a3jtxvpmy9mnxt05mwmgz9wza.png)
∴ Points of the image
![\rightarrow (px, py)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p212m29bbv7h9jyumjd59jhgvj722pzui6.png)