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Mathematics

Grade10

Easy

Question

A company’s logo is modelled by the function $f left parenthesis x right parenthesis equals negative vertical line x vertical line plus 3$ . For a new design, the company wants the logo to be narrower towards the $y minus text axis end text$ , then find the function for the new logo.

$5 (- | x | + 3)$
$- | 5 x | + 3$
$- |\frac{1}{5} x| + 3$
$\frac{1}{5} (- | x | + 3)$

The correct answer is: $negative vertical line 5 x vertical line plus 3$

To make the logo narrower towards the $y minus text axis end text$ , then the function must be horizontally compressed.
$g left parenthesis x right parenthesis equals f left parenthesis k x right parenthesis text for end text vertical line k vertical line greater than 1$
So, the correct function is $negative vertical line 5 x vertical line plus 3 comma text where end text k equals 5 greater than 1$ .

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