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Use the images to answer the question.

A curve passes through 7 plotted points on a coordinate plane with x and y axes ranging from negative 10 to 10 in unit increments. A curve passes through 4 plotted points on a coordinate plane with x-axis ranging from negative 9 to 9 in increments of 1 and y-axis ranging from negative 11 to 11 in increments of 1.
Both graphs represent transformations from their respective parent functions. Describe the transformation.

(1 point)
Responses

Both graphs represent vertical compressions, with the same factors of k.
Both graphs represent vertical compressions, with the same factors of k .

Both graphs represent vertical stretches, with the same factors of k.
Both graphs represent vertical stretches, with the same factors of k .

Both graphs represent vertical stretches, although they use different factors of k.
Both graphs represent vertical stretches, although they use different factors of k .

Both graphs represent vertical compressions, although they use different factors of k.
Both graphs represent vertical compressions, although they use different factors of k .
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1 answer

Based on the description provided, the transformation of the curves can be analyzed by considering the plotted points and their respective arrangements on the coordinate planes.

  • If the curves pass through points that are farther from the x-axis than they would be for the parent function, it indicates a vertical stretch.
  • Conversely, if the curves pass through points that are closer to the x-axis, it indicates a vertical compression.

Without specific images or additional data regarding the extent of the transformations, it is challenging to pin down the exact transformations. However, the mention of the curves passing through 7 and 4 points might suggest variations in their vertical properties, which could imply different degrees of stretch or compression.

Since it is indicated that both graphs show transformations but with potentially different factors of \( k \), the most appropriate response seems to be:

Both graphs represent vertical compressions, although they use different factors of k.

If you believe one of the other options fits better based on specific visual details or the nature of the plotted points, please provide that context for a more precise conclusion.