Question

If $f\left(x\right)=x^3$, then the graph of $g\left(x\right)=f(x+2)$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Given $f\left(x\right)=x^3$
$\therefore g\left(x\right)=f(x+2)=(x+2{)}^3$
We know that the graph of the function $f\left(x\right)=x^3$ is

$\therefore$ Graph of $g\left(x\right)$ is shifted left hand side by $2$ units along the $x-$ axis.