Graph the image of the given triangle under a dilation with a scale factor of −4 and center of dilation (0, 0).
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Answer:
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
[tex] (1,2) \rightarrow (-4 ,-8)[/tex]
[tex] (1,-2) \rightarrow (-4 ,8)[/tex]
[tex] (-2,-2) \rightarrow (8 , 8)[/tex]
As you can see in the graph below: