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 determine the value of \( k \) based on the transformation of the original ordered pair \((8, 2)\) to the transformed ordered pair \((2, 2)\), we can identify how the transformation affects the \( x \)-coordinate.

1. The original \( x \)-coordinate is \( 8 \).
2. The transformed \( x \)-coordinate is \( 2 \).

If this transformation is likely a horizontal scaling by a factor of \( k \), we have the formula:

\[
x' = \frac{x}{k}
\]

where \( x' \) is the transformed \( x \)-coordinate.

Setting this up with the given coordinates:

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

Now, we can solve for \( k \):

\[
2k = 8
\]

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

Thus, the value of \( k \) is \( 4 \).