Question

Plot the graph of $f(x-1)$ if the graph of $f\left(x\right)$ looks like

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

$f\left(x\right)$ becomes zero at $x=0$
Let $f^{\prime }\left(x\right)=f(x-1)$, this function will become zero when $x=1$. For the same value of y, lets find the value of x, for $f\left(x\right)$ and $f^{\prime }\left(x\right)$

$y_1=f\left(x\right)=f^{\prime }\left(x\right)$

$\Rightarrow y_1=f\left(x_1\right)=f(x_2-1)$

$\Rightarrow x_2=x_1+1$

This means, $f^{\prime }\left(x\right)$ will attain the same value y after 1 unit. So the graph will be shifted 1 unit to the right.