Question

The following ordered pairs came from a function transformation. The original ordered pair is (8,2)
, and the transformation ordered pair is (2,2)
. Identify the value of k.(1 point)

Answer 1

To identify the value of \( k \) in the context of function transformations between the original ordered pair \( (8,2) \) and the transformed ordered pair \( (2,2) \), we need to determine how the x-coordinates of the points are related.

In general, a transformation of the form \( (x, y) \) to \( (k \cdot x, y) \) scales the x-coordinate by a factor of \( k \).

Given the original pair:
- \( (8,2) \)

And the transformed pair:
- \( (2,2) \)

We want to find \( k \) such that:

\[
k \cdot 8 = 2
\]

To solve for \( k \):

\[
k = \frac{2}{8} = \frac{1}{4}
\]

Thus, the value of \( k \) is \( \frac{1}{4} \).