Question

Suppose f(x) = x^2. What is the graph of g(x) = f(2x)?OAOBOCOD

Answer 1

Step 1 :

In this question, we are given that

`\text{f ( x ) = x}^2`
`\text{Now, w e are asked to find the graph of g ( x ) = f ( 2 x )}`

Step 2 :

`\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}`

Step 3 :

We need to sketch the graph of:

`g(x)=4x^2`

The graph is as shown below:

CONCLUSION:

OPTION B IS VERY CORRECT.