Use the following information to answer the next question
The graph of $g(x)=4 x-2$ is the transformed image of $f(x)=2 x-2$.
11. The transformation that occurred was:
a vertical stretch of $f(x)$ by a factor of $\frac{1}{2}$.
a horizontal stretch of $f(x)$ by a factor of $\frac{1}{2}$.
a horizontal stretch of $f(x)$ by a factor of 2 .
a vertical stretch of $f(x)$ by a factor of 2
Answer
\(\boxed{\text{The transformation that occurred was a vertical stretch of } f(x) \text{ by a factor of 2}}\)
Step 1 ：The transformation from \(f(x)\) to \(g(x)\) involves a change in the coefficient of \(x\). In \(f(x)\), the coefficient of \(x\) is 2, while in \(g(x)\), the coefficient of \(x\) is 4. This indicates a vertical stretch of the function \(f(x)\) by a factor of 2.
Step 2 ：\(\boxed{\text{The transformation that occurred was a vertical stretch of } f(x) \text{ by a factor of 2}}\)
