Answer:
C = (7, 6)
Step-by-step explanation:
The problem statement tells us the relation between the points is ...
(B-A)/(C-A) = 2/7
7(B -A) = 2(C -A) . . . . . . multiply by 7(C-A)
7B -7A +2A = 2C . . . . . add 2A
C = (7B -5A)/2 . . . . . . . divide by 2
C = (7(2, -4) -5(0, -8))/2 = (14, 12)/2 . . . . . fill in the values of A and B
C = (7, 6)
Answer:

Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4
If we say dilation, we mean to say that the endpoints or the corners of the polygon is move by the number of scale factors away from the original point. Unfortunately, you missed to give here an illustration of both quadrilaterals, it would have been easy for us to answer this item should we have been given with the dimensions.