To interpret the key features of a graph of the function and determine the transformation that occurred from its original function \( y = \sqrt{x} \), we need to examine the changes in the graph compared to the parent function.
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Shift Up or Down: If the graph has been transformed vertically, we would see a change in the y-values of the graph. A graph shifted up will indicate an increase in the y-intercept compared to the original, and a graph shifted down will indicate a decrease in the y-intercept.
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Shift Left or Right: If the graph has moved horizontally, then we will see a change in the x-values at which the graph intersects the x-axis. A shift to the right means the graph's x-intercept moves to a larger value of x. Conversely, a shift to the left indicates that the x-intercept moves to a smaller value of x.
Without the actual graph provided here, the determination of transformations would depend on the specific changes noted in the graph.
Here's how you could analyze the given options:
- If the graph moved up, you would choose a statement regarding a shift up.
- If it moved down, you'd select a statement about it moving down.
- If it shifted to the right, select the corresponding statement.
- If it shifted to the left, choose the statement about shifting left.
Thus, to provide a specific answer, one would need information about whether the graph’s y-intercept increased, decreased, or whether its x-intercepts moved left or right.
Given this context, you would select one of the statements based on the analysis of the graph's transformation relative to \( y = \sqrt{x} \).