A graph with the equation $\displaystyle y=f(x)$ undergoes, in succession, the following transformations:

A: A translation of $\displaystyle 1$ unit in the direction of the positive x-axis.

B: A scaling parallel to the x-axis by a scale factor $\displaystyle \frac{1}{2}$

C: A reflection in the y-axis.

The equation of the resulting curve is $\displaystyle y=\frac{2}{2x^2+2x+1}$

Determine the equation $\displaystyle y=f(x)$

What I did:

$\displaystyle -f(\frac{1}{2}x-1)$$\displaystyle =\frac{2}{2x^2+2x+1}$