The points after the dilation with a scale factor of 14 are: (62,-58), (74,-62) and (58,-70) and the graph of the image is attached below.
Given :
- Dilation with a scale factor of 14.
- Centered at (5 , -5).
The given points are- (-3,7) (9,3) and (-7,-5)
The procedure to find each point after a dilation with a scale factor of 14 are as follows:
First point -
[tex][(-3,7)-(5,-5)\times 14+(5,-5)] = [(-3,7)-(-70,70)+(-5,5)][/tex]
[tex]= [(-3,7)-(-70,70)+(-5,5)] = [62,-58][/tex]
Second point-
[tex][(9,3)-(5,-5)\times 14+(5,-5)] = [(9,3)-(-70,70)+(-5,5)][/tex]
[tex]= [(9,3)-(-70,70)+(-5,5)]=[74,-62][/tex]
Third point -
[tex][(-7,-5)-(5,-5)\times 14+(5,-5)] = [(-7,-5)-(-70,70)+(-5,5)][/tex]
[tex]= [(-7,-5)-(-70,70)+(-5,5)] = [58,-70][/tex]
The points after the dilation with a scale factor of 14 are: (62,-58), (74,-62) and (58,-70) and the graph of image after dilation is attached below.
For more information, refer the link given below
https://brainly.com/question/10712002
