Question

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

Answer 1

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

`(1,2) \rightarrow (-4 ,-8)`

`(1,-2) \rightarrow (-4 ,8)`

`(-2,-2) \rightarrow (8 , 8)`

As you can see in the graph below: