Respuesta :
If a point P is dilated about the origin, coordinates of the image point will be P'(-6, -12).
Rule of the transformation (Dilation):
- If a point P(x, y) is dilated by a scale factor 'k' about the origin, image point P' will be given by,
P(x, y) → P'(kx, ky)
Given in the question,
- Coordinates of point P → (-2, -4)
- Point P is dilated by a scale factor '3' about the origin to form the image point P'.
After the dilation of point P, coordinates of the image point P' will be,
P(-2, -4) → P'(-2×3, -4×3)
→ P'(-6, -12)
Therefore, after dilation of point P about the origin, coordinates of the image point will be P'(-6, -12).
Learn more about the rule of transformation here,
https://brainly.com/question/19649377?referrer=searchResults