Question

A dilation is an enlargement if the scale factor is _____ between 0 and 1. greater than 1. less than 0. equal to 1.

Answer 1

Dilation is one of the several means by which we can transform a graph. A function is dilated when is stretched away from an axis or compressed towards an axis. So this means there are 2 types of dilation: a) Stretch (Enlargement) and b) Compression.

Depending on the direction of Dilation, we have Horizontal Dilation and Vertical Dilation.

For a function y = f(x), horizontal dilation is achieved when x is replaced by $\frac{x}{A}$ and vertical dilation is achieved when y is replaced by $\frac{y}{A}$ where A is the scale factor.

In each of these cases, the function will be stretched if |A| > 1 and will be compressed if |A| < 1.

Therefore, the answer to the given question is:

A dilation is an enlargement if the scale factor is greater than 1.