Question
Which of the following functions has a graph that is the graph of \( y=\sqrt{x} \) shifted down 4 units? Cnoose the correct answer below. (1) \( y=\sqrt{x+4} \) (0) \( y=\sqrt{x-4} \) \( y=\sqrt{x}+4 \)
Ask by Frank Chandler. in the United States
Mar 17,2025
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Answer
None of the given functions shift \( y = \sqrt{x} \) down by 4 units.
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Bonus Knowledge
To shift the graph of \( y=\sqrt{x} \) down 4 units, you need to subtract 4 from the function. The correct transformation is to take \( y=\sqrt{x} \) and write it as \( y=\sqrt{x} - 4 \). Now let’s look at the options. The function that properly represents this downward shift is none. Instead you want \( y = \sqrt{x} - 4 \), which is not listed. Seems like a brain teaser, right? Just remember: to move a graph down, we subtract from the whole function!