Answer:
(1.0)
Explanation:
we know that
The scale factor of the dilation is 0.25 ----> given problem
The coordinates of point A(-5,-3) and F(3,1)
step 1
Find the x-coordinate of point A'
The horizontal distance between A and F is equal to
AFx=3-(-5)=8
The horizontal distance after dilation between A'F is equal to
A'F=0.25*8=2
so
the x-coordinate of vertex A' is equal to the x-coordinate of F minus the horizontal distance after dilation A'F
A'x=3-2=1
step 2
Find the y-coordinate of point A'
The vertical distance between A and F is equal to
AFy=1-(-3)=4
The vertical distance after dilation between A'F is equal to
A'Fy=0.25*4=1
so
the y-coordinate of vertex A' is equal to the y-coordinate of F minus the vertical distance after dilation A'F
A'y=1-1=0
therefore
The coordinates of vertex A of the image is (1.0)