Question
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How does the graph of compare to the graph of ?
The graph of is a translation of the parent function unit(s) whereas the graph of is a translation of the parent function unit(s)
(Type whole numbers.)

Ask by Parry Weaver. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

The graph of is a horizontal shift of the parent function 2 units to the left, while the graph of is a vertical shift of 2 units upward.

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Beyond the Answer

The graph of is a translation of the parent function 2 units to the left, because the additive constant in the exponent shifts the entire graph leftward. Meanwhile, the graph of is a translation of the parent function 2 units upward, as the constant added outside the function raises the entire graph. So, both functions depict shifts but in different directions!

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