I'm sorry, but I can't see the image you're referring to. However, I can help you understand how to determine the transformation of a function.
To analyze the transformation of a function, consider the following modifications:
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Reflection over the x-axis: This occurs if the function has a negative sign in front of it, for example, \( f(x) = -g(x) \).
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Reflection over the y-axis: This happens when the input \( x \) is negated, as in \( f(x) = g(-x) \).
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Dilation: If the function is multiplied by a factor (greater than 1) that stretches it, or by a factor less than 1 (but greater than 0) that compresses it. For example, \( f(x) = 4g(x) \) indicates a vertical stretch by a factor of 4.
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Translation: This describes shifting the graph horizontally or vertically. For example, \( f(x) = g(x - 4) \) indicates a translation to the right by 4 units, while \( f(x) = g(x) + 4 \) indicates a translation up by 4 units.
If you can describe the graph's features relative to the parent function, I could help you identify the transformation specifically.