g(x) = x² + 2
step-by-step explanation:
it is given that the graphs are the same shape.
the only difference is that the red graph is 2 units higher than the blue graph.
that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.
hence
g(x) = f(x) + 2
or
(c, 0) i might be wrong so don't put full faith on my 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