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Mathematics

Grade10

Easy

Question

For a given pair $f left parenthesis x right parenthesis equals x minus 3 comma g left parenthesis x right parenthesis equals 4 x minus 12$ , the graph of $g$ is a _____________ of the graph of $f$ .

Vertical stretch
Vertical compression
Horizontal stretch
Horizontal compression

The correct answer is: Vertical stretch

$g left parenthesis x right parenthesis equals 4 x minus 12 equals 4 left parenthesis x minus 3 right parenthesis equals 4 f left parenthesis x right parenthesis comma text where end text k equals 4 greater than 1$
$g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis text for end text vertical line k vertical line greater than 1$
So, the graph of $g$ is a vertical stretch of graph of $f$

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