Answer: The image is attached.
Step-by-step explanation:
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:
[tex]scale\ factor=4[/tex]
Since:
[tex]4>1[/tex]
It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:
[tex](-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)[/tex]
So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;
[tex]((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)[/tex]
Now you can draw it (The image is attached).
