Which graph represents a reflection of f(x) = 1/3 (9)x across the x-axis?

The reflection across the x-axis means that point with coordinates (x,y) after reflection will have coordinates (x,-y).

In attached diagram you can see the graph of the function (violet curve) and the graph of the function (green curve). The second graph is a reflection of the first graph across the x-axis. Then, the correct choice is C.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11