Question

How does the graph of $f\left(2x\right)$ look like if the graph of $f\left(x\right)$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

The difference between $f\left(x\right)$ and $f\left(2x\right)$ is that if $f\left(x\right)$ is y when $x=x_1$,$f\left(2x\right)$ will be y when $x=\frac{x_1}{2}$.$\left(f\right(2x)$

at $\frac{x_1}{2}$ and $f\left(x\right)$ at $x=x_1$ are equal).

so $f\left(2x\right)$ will attain the same value of y for the half value of x compared to $f\left(x\right)$.This means $f\left(x\right)$ will shrink

by two times to get $f\left(2x\right)$. So option c is correct.