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Mathematics

Grade10

Easy

Question

Find the function $g left parenthesis x right parenthesis$ that is a vertical stretch of the graph of $f left parenthesis x right parenthesis equals 3 x cubed minus 1$

$4 x^{3} - 1$
$6 x^{3} - 2$
$x^{3} - \frac{1}{3}$
$x^{3} - 1$

The correct answer is: $6 x cubed minus 2$

For a vertical stretch $g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis text for end text k greater than 1$
If $g left parenthesis x right parenthesis equals 6 x cubed minus 2 equals 2 open parentheses 3 x cubed minus 1 close parentheses equals 2 f left parenthesis x right parenthesis$
$k equals 2 greater than 1$

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