Answer:
H=(-8,14)
G=(-3,6)
Step-by-step explanation:
The meaning of dilation is : The distance between the numbers or consecutives values increases by a factor which is known as the dilation factor. Now if the graph is dilated about origin , it means the origin is in the same position as before but the rest move .
Given :
- The initial co-ordinates of H is (-4,7)
- The initial co-ordinates of G is (-1,3)
If the graph is dilated about (1,1) , (1,1) is fixed.
Thus , the distance in the x-axis from the point (1,1) increases.
distance of x-coordinate of H from (1,1) = (1-(-4))=5;
Thus , it increases [tex]5*2 = 10[/tex] times.
but since it's measured from 1 ,
it's x coordinate becomes : -10+2=-8
Similarly , the y coordinate :
distance = 7-1 = 6 ;
increases to = 12 ;
measured from 1 , thus it's original value will be 12+2=14;
new coordinates of H is ( -8,14)
G:
distance from x :
-1-1=2;
increment : [tex]2*2=4[/tex]
coordinate : -1-4+2 = -3
distance from y : 3-1=2
increment : [tex]2*2=4[/tex]
total increment : 4+2 =6
new coordinates : ( -3,6)
