option C
Explanation:[tex]\begin{gathered} \text{Given:} \\ f(x)=x^2 \\ We\text{ want to find the graph of f(2x)} \\ \\ \text{For positive co}efficient,\text{ parabola opens up} \\ \text{For negative coefficient, parabola opens down} \end{gathered}[/tex]
Since the coefficient of x² is positive, then the graph will open up
We are left with option C and D
Plotting f(x) = x²
plotting g(x) = f(2x)
We see the grapg of f(2x²) is more narrow than graph of f(x) = x²
Hence, the graph of g(x) = f(2x) is option C
