Answer:
-2x -1 if f(x) is reflected along the x axis and translated 1 unit downward
Step-by-step explanation:
A function can either be reflected along the x axis or along the y axis. If a function is reflected along the x axis, the new reflected equation g(x) is given by:
g(x) = -f(x) = -2x
g(x) = -2x
If a function is reflected along the y axis, the new reflected equation g(x) is given by:
g(x) = f(-x) = 2(-x)
g(x) = -2x
Translation means the shifting of the curve either up or down in a graph. If the reflected function is shifted 1 unit upward, the function becomes:
g(x) + 1 = -2x + 1
If the reflected function is shifted 1 unit downward, the function becomes:
g(x) - 1 = -2x - 1