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Mathematics

Grade10

Easy

Question

Find a pair that the graph of $g$ is a vertical stretch of the graph of $f$ .

$f (x) = | 3 x - 1 |, g (x) = \frac{1}{4} | 3 x - 1 |$
$f (x) = (x - 1)^{2}, g (x) = 2 (x - 1)^{2}$
$f (x) = | 2 x + 3 |, g (x) = | 4 x + 3 |$
$f (x) = \sqrt{x}, g (x) = \sqrt{\frac{1}{5}} x$

The correct answer is: $f left parenthesis x right parenthesis equals left parenthesis x minus 1 right parenthesis squared comma g left parenthesis x right parenthesis equals 2 left parenthesis x minus 1 right parenthesis squared$

For a vertical stretch, $g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis text for end text vertical line k vertical line greater than 1$
$g left parenthesis x right parenthesis equals 2 left parenthesis x minus 1 right parenthesis squared equals 2 f left parenthesis x right parenthesis$
$k equals 2 greater than 1$

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