Without the specific image to refer to, I can provide general guidance about how dilations affect the function \( f(x) = |x| \).
If you're observing a V-shaped graph similar to the parent function but it has been modified in the following ways:
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Vertically translated down: This would mean that the vertex of the V shape is shifted downwards, which is not a dilation.
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Horizontally stretched: This would expand the graph away from the y-axis. If the V is wider than the parent function, this might be correct.
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Horizontally compressed: This would make the graph narrower than the parent function. If the V is narrower than the parent function, this might be correct.
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Vertically translated up: Similar to the down translation, this shifts the graph upwards but does not represent a dilation.
Based on your description, if the V shape of the graph appears wider than the standard V of \( f(x) = |x| \), it suggests a horizontal stretch. If it appears narrower, it suggests a horizontal compression.
To provide a specific answer, I would need to know the precise transformations observed in the graph. Consider checking the characteristics against these options to make a selection. If the graph is indeed wider, then the correct response is:
The parent function was horizontally stretched.
If narrower, then:
The parent function was horizontally compressed.
Please refer to the graph and select the option that matches the transformation you see.
1 answer