Answer:
- The graphed is attached.
- It's an enlargement.
Step-by-step explanation:
It is important to remember that a Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is 4.
Since:
[tex]4>1[/tex]
It is an Enlargement.
Now we need to multiply the coordinates of the vertices of VWXY by 4, in order to find the coordinates of the vertices of V'W'X'Y'. Then:
[tex]V'=(-1*4,-1*4)=(-4,-4)\\\\W'(-1*4,2*4)=(-4,8)\\\\X'(2*4,-1*4)=(8,-4)\\\\Y'=(2*4,2*4)=(8,8)[/tex]
Finally, we must draw the pre-image and the pre-image and label them, as you see in the picture attached.
