SOLUTION
Step 1 :
In this question, we are given that
[tex]\text{f ( x ) = x}^2[/tex][tex]\text{Now, w e are asked to find the graph of g ( x ) = f ( 2 x )}[/tex]
Step 2 :
[tex]\begin{gathered} \text{If f (x ) = x}^2 \\ f(2x)=(2x)^2=4x^2 \\ \text{Then, g ( x ) = f ( 2 x ) = 4 x}^2 \\ g(x)=4x^2 \end{gathered}[/tex]
Step 3 :
We need to sketch the graph of:
[tex]g(x)=4x^2[/tex]
The graph is as shown below:
CONCLUSION:
OPTION B IS VERY CORRECT.
