How is the graph (y=f(-x)) obtained from (y=f(x))?

Correct answer: Reflection in the y-axis

The governing concept is a transformation of the input variable. Replacing x by −x changes every point (x,y) on y=f(x) to (−x,y) on y=f(−x). The y-coordinate remains unchanged, while the x-coordinate changes sign. This is precisely a reflection in the y-axis. Hence option A is correct. Replacing the output y by −y, or writing y=−f(x), would produce reflection in the x-axis instead. An upward shift would require an expression such as f(x)+k with k>0, and a right shift would normally use f(x−h), not f(−x). Thus the negative sign inside the function causes a horizontal, not vertical, reflection.