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Mathematics

Grade10

Easy

Question

For a given pair $f left parenthesis x right parenthesis equals vertical line x minus 9 vertical line comma g left parenthesis x right parenthesis equals 3 over 4 vertical line x minus 9 vertical line$ , the graph of $g$ is a _____________ of the graph of $f$ .

Vertical stretch
Vertical compression
Horizontal stretch
Horizontal compression

The correct answer is: Vertical compression

$g left parenthesis x right parenthesis equals 3 over 4 vertical line x minus 9 vertical line equals 3 over 4 f left parenthesis x right parenthesis equals 0.75 f left parenthesis x right parenthesis comma text where end text k equals 0.75 less than 1$
$g left parenthesis x right parenthesis equals k f left parenthesis x right parenthesis text for end text 0 less than vertical line k vertical line less than 1$
So, the graph of $g$ is a vertical compression of graph of $f$ .

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