Question
Let \( f(x)=3 \sqrt{x} \). If \( g(x) \) is the graph of \( f(x) \) shifted up 6 units and right 2 units, write a formula for \( g(x) \). \( g(x)=\square \) Enter \( \sqrt{x} \) as sqrt(x).
Ask by Todd French. in the United States
Mar 14,2025
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Answer
\( g(x) = 3 \sqrt{x - 2} + 6 \)
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Mind Expander
To shift the graph of \( f(x) = 3 \sqrt{x} \) up by 6 units, we add 6 to the function, resulting in \( 3 \sqrt{x} + 6 \). Next, to shift the graph to the right by 2 units, we replace \( x \) with \( x - 2 \). Therefore, the formula for \( g(x) \) becomes: \( g(x) = 3 \sqrt{x - 2} + 6 \)