What must you be careful of when graphing horizontal shifts of parent functions?

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What must you be careful of when graphing horizontal shifts of parent functions?

Computer Science
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This is a very vague question as you, presumably, need to be careful of many things. A few of which would be: the value in which your translating by, the sign of this value (the direction it's being translated), ensuring that you have parentheses around your child function to ensure it's not being converted to a vertical translation, etc. Any way you could be more specific?
\[\sum_{3}^{?}\sqrt{5}\]

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