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Mathematics

Grade10

Easy

Question

$text The graph end text g left parenthesis x right parenthesis text is the translation of end text f left parenthesis x right parenthesis equals square root of x text . Identify the function g(x) of the graph given below: end text$

$g (x) = \sqrt{x + 5}$
$g (x) = \sqrt{x - 5}$
$g (x) = \sqrt{x} + 5$
$g (x) = \sqrt{x} - 5$

The correct answer is: $g left parenthesis x right parenthesis equals square root of x minus 5 end root$

The graph of the function translates 5 units right horizontally.
$text So, end text g left parenthesis x right parenthesis equals f left parenthesis x minus 5 right parenthesis equals square root of x minus 5 end root$

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