Graph the image of the given triangle under a dilation with a scale factor of −4 and center of dilation (0, 0).

(8,8)

(-4,8)

(-4,-8)

are all correct.

Given:

Scale factor of −4, also the center of dilation is (0,0).

Dilation defined as it is being or become larger or smaller.

if we dilate a given diagram,  it become smaller of larger of the original image by multiplying by given scale factor i.e -4.  

The  coordinate of original images are (1,2), (1,-2) and (-2 ,-2)

The mapping rule for the dilation applied to the triangle below is (x, y) → ( kx, ky) where k is the scale factor i.e, k =-4.

As we need to multiply each and every coordinate by -4 to get new coordinates of the dilated image.

Dilation images are

As you can see in the graph below:

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