Answer:
positive
negative
negative
Step-by-step explanation:
The answer is $5.15! Hope this helps
Multiply by -1 each time to get the answer in the output
Answer: ![D'(-14,1);\ E'(4,7);\ F'(4,1)](https://tex.z-dn.net/?f=D%27%28-14%2C1%29%3B%5C%20E%27%284%2C7%29%3B%5C%20F%27%284%2C1%29)
Step-by-step explanation:
Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':
![D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)](https://tex.z-dn.net/?f=D_%7BO%2Ck%7D%28x%2Cy%29%3D%28k%28x-a%29%2Ba%2C%20k%28y-b%29%2Bb%29)
Where "O" is the center of dilation at (a,b) and "k" is the scale factor.
In this case you can identify that:
![(a,b)=(1,1)\\k=3](https://tex.z-dn.net/?f=%28a%2Cb%29%3D%281%2C1%29%5C%5Ck%3D3)
Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:
Vertex D' → ![(3(-4-1)+1,\ 3(1-1)+1)=(-14,1)](https://tex.z-dn.net/?f=%283%28-4-1%29%2B1%2C%5C%203%281-1%29%2B1%29%3D%28-14%2C1%29)
Vertex E' → ![(3(2-1)+1,\ 3(3-1)+1)=(4,7)](https://tex.z-dn.net/?f=%283%282-1%29%2B1%2C%5C%203%283-1%29%2B1%29%3D%284%2C7%29)
Vertex F' → ![(3(2-1)+1,\ 3(1-1)+1)=(4,1)](https://tex.z-dn.net/?f=%283%282-1%29%2B1%2C%5C%203%281-1%29%2B1%29%3D%284%2C1%29)