Respuesta :
Answer:
(1,-2)
Step-by-step explanation:
you just have to multiply the coordinates by 1/4
4x1/4=1
-8x1/4=-2
so the new coordinates are (1,-2)
The image of the given point is (1,-2).
Important information:
- The coordinates of the point are (4,-8).
- Point is dilated by a scale factor of [tex]\dfrac{1}{4}[/tex] centered at the origin.
Dilation:
If a point is dilated by a scale factor of [tex]k[/tex] centered at the origin, then the rule of dilation is defined as:
[tex](x,y)\to (kx,ky)[/tex]
Using the above rule, we get
[tex](4,-8)\to \left(\dfrac{1}{4}(4),\dfrac{1}{4}(-8)\right)[/tex]
[tex](4,-8)\to \left(1,-2\right)[/tex]
Therefore, the image of the given point is (1,-2).
Find out more about 'Dilation' here:
https://brainly.com/question/1002743
