Bot GPT 4-o mini To determine the value of \( k \), we need to assess the vertical shift of the dotted line (the translated function) compared to the solid line (the parent function).
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Identify a point on the solid line: Look for a point on the parent function (solid line) and note its coordinates.
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Identify the corresponding point on the dotted line: Look for the corresponding point on the translated function (dotted line) at the same \( x \)-coordinate.
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Calculate the vertical shift: The value of \( k \) is simply the difference in the \( y \)-coordinates of these two points. Specifically, it can be calculated as: \[ k = y_{\text{dotted}} - y_{\text{solid}} \]
If you have specific points from the graph you're referencing, substitute those values in to find \( k \). If you can provide those points, I can help you compute the exact value of \( k \).
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