Question

An image point of a transformation has coordinates Y'(-3, 2). If the pre-image point had coordinates Y(-9, 6), what was the transformation and scale factor? reflection with scale factor dilation with scale factor reflection with scale factor 3 dilation with scale factor 3

Answer 1

The transformation was a dilation with scale factor 1/3

Explanation:

we know that

The transformation

Y ------> Y'

is equal to

Y(-9, 6) -----> Y'(-3, 2)

Divide the x-coordinate of the image by the x-coordinate of the pre-image

-3/-9=1/3

Divide the y-coordinate of the image by the y-coordinate of the pre-image

2/6=1/3

The scale factor is equal to k=1/3

The rule of the transformation is equal to

`(x,y) ------> (kx,ky)`

`(x,y) ------> ((1)/(3)x,(1)/(3)y)`

therefore

The transformation was a dilation with scale factor 1/3