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Mathematics

Grade10

Easy

Question

Find a function $g left parenthesis x right parenthesis$ that is the reflection of the graph of $f left parenthesis x right parenthesis equals 2 x cubed minus 1$ across the $x minus text axis end text$

$1 - 2 x^{3}$
$2 x^{3} - 1$
$2 x^{3} + 1$
$- 2 x^{3} - 1$

The correct answer is: $1 minus 2 x cubed$

Here $g left parenthesis x right parenthesis equals negative 1 f left parenthesis x right parenthesis equals negative 1 cross times open parentheses 2 x cubed minus 1 close parentheses equals negative open parentheses 2 x cubed minus 1 close parentheses equals negative 2 x cubed plus 1$
So $g left parenthesis x right parenthesis equals 1 minus 2 x cubed$ is the reflection of $f left parenthesis x right parenthesis$ across the $x minus text axis end text$

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