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)
the value of k is not 1/4
the value of k is not 1/4
Answers
GPT-4o mini
To find the value of \( k \) in the transformation from the original ordered pair \( (8, 2) \) to the transformed ordered pair \( (2, 2) \), we can analyze the change in the x-coordinates.
A transformation of the x-coordinate can be expressed as:
\[
x' = k \cdot x
\]
where \( (x', y') \) is the transformed pair and \( (x, y) \) is the original pair. In this case:
\[
(2, 2) = (k \cdot 8, 2)
\]
From the x-coordinates, we can set up the equation:
\[
2 = k \cdot 8
\]
To solve for \( k \):
\[
k = \frac{2}{8}
\]
\[
k = \frac{1}{4}
\]
However, you stated that the value of \( k \) is not \( \frac{1}{4} \). This may introduce ambiguity, as the transformation in the x-coordinate seems to imply \( k \) must be \( \frac{1}{4} \).
If you're looking for a different transformation or if \( k \) is related to a different aspect (like a vertical transformation or different operation), please provide additional context or details. Otherwise, based on the information given, the calculated \( k \) is indeed \( \frac{1}{4} \).
A transformation of the x-coordinate can be expressed as:
\[
x' = k \cdot x
\]
where \( (x', y') \) is the transformed pair and \( (x, y) \) is the original pair. In this case:
\[
(2, 2) = (k \cdot 8, 2)
\]
From the x-coordinates, we can set up the equation:
\[
2 = k \cdot 8
\]
To solve for \( k \):
\[
k = \frac{2}{8}
\]
\[
k = \frac{1}{4}
\]
However, you stated that the value of \( k \) is not \( \frac{1}{4} \). This may introduce ambiguity, as the transformation in the x-coordinate seems to imply \( k \) must be \( \frac{1}{4} \).
If you're looking for a different transformation or if \( k \) is related to a different aspect (like a vertical transformation or different operation), please provide additional context or details. Otherwise, based on the information given, the calculated \( k \) is indeed \( \frac{1}{4} \).