Question

question
the graph of ( f(x) = -2x^3 ) is given below. write the equation of a function ( g(x) ) which would shift the graph of ( f(x) ) right 4 units.

Explanation:

Step1: Recall horizontal shift rule

For a right shift by $h$ units, replace $x$ with $x-h$ in $f(x)$.

Step2: Apply shift to given function

Here, $h=4$, so substitute $x \to x-4$ into $f(x)=-2x^3$.
<Expression>
$g(x) = -2(x-4)^3$
</Expression>

Answer:

$g(x) = -2(x-4)^3$