QuestionFind a function $f(x)$ that passes through $(0,0),(1,-2),(2,0)$ from these options: $f(x)=2 x^{2}-4 x$, $f(x)=-2 x^{2}$, $f(x)=2 \sqrt{x}-4 x$, $f(x)=-2 x$.

Studdy Solution
Finally, substitute $x=0$, $x=$, and $x=2$ into the function $f(x)=-2 x$ and calculate the corresponding y-values. You will find that this function does not pass through all the given points.
Therefore, the function $f(x)$ could be $f(x)=2 x^{2}-4 x$.