The graph of F(x) shown below resembles the graph of G(x)=x^3, but it has been changed somewhat. Which of the following could be the equation of F(x)?

Answer && Step-by-step explanation:

We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)

choosing A.

plug in values of -x to see if you can get ~= to graph so -5 to -1

x: -5, -4, -3, -2, -1

y: -2, -.25, 0, .25, 2

checks out., A is your answer

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb