Question

Determine whether each scale factor produces an expansion or a contraction under a dilation of the original image

Answer 1

see the explanation

Explanation:

we know that

If the absolute value of the scale factor is less than 1, then the dilation produces a contraction of the original image

If the absolute value of the scale factor is greater than 1, then the dilation produces an expansion of the original image

so

Verify each value

1) -4

`\left|-4\right|=4`

`4> 1`

therefore

The dilation produces an expansion of the original image

2) 0.25

`\left|0.25\right|=0.25`

`0.25 < 1`

therefore

The dilation produces a contraction of the original image

3) -2/3

`\left|-2/3\right|=2/3`

`2/3 < 1`

therefore

The dilation produces a contraction of the original image

4) 2.3

`\left|2.3\right|=2.3`

`2.3 > 1`

therefore

The dilation produces an expansion of the original image