What is the approximate scale factor dilating from the red image to the blue image? Explain how you figured this out.

The scale factor dilating from the red image to the blue image is 1/4

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Figure ABCD and Figure A'B'C'D' are similar

so

using proportion

substitute the given values

The scale factor dilating from the red image to the blue image is 1/4

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0