Question

What are the effects of vertical shrink by a factor of one eighth, vertical stretch by a factor of 8, horizontal shrink by a factor of one eighth, and horizontal stretch by a factor of 8?

1) The shape will become smaller vertically by a factor of one eighth
2) The shape will become larger vertically by a factor of 8
3) The shape will become smaller horizontally by a factor of one eighth
4) The shape will become larger horizontally by a factor of 8

Answer 1

A vertical shrink by a factor of one eighth reduces the shape's height to 12.5% of its original, whereas a vertical stretch by a factor of 8 multiplies the height by 8. A horizontal shrink by the same factor reduces the width to one eighth, and a horizontal stretch by 8 increases the width to eight times the original size.

Step-by-step explanation:

When analyzing the effects of transformations on a shape in mathematics, specifically those involving scaling, it is important to understand how each operation alters the size of the shape along the vertical or horizontal axis. A vertical shrink by a factor of one eighth will make the shape smaller vertically, meaning the shape's height will be multiplied by ⅛, or it will be reduced to 12.5% of its original height.

Conversely, a vertical stretch by a factor of 8 would cause the shape to become larger vertically, with its height being multiplied by 8. In terms of horizontal changes, a horizontal shrink by a factor of one eighth will reduce the shape's width to one eighth of its original size, whereas a horizontal stretch by a factor of 8 will increase the shape's width to eight times its original width.