Hello all, I tried to solve this transformation and my answer was $-(x+3)^3+2$
my reason for thinking:
reflect cubic power, shift to the left $3$ units, move up $2$ units. $-(x+3)^3+2$
However, the correct answer it gives me is $-.5(x+3)^3+2$ , could anyone help me understand where the $.5$ comes in? Thanks!
Hint:
Note that $$(-1,-2)$$ lies on the graph. Your equation gives $$f(-1) = -(-1+3)^3+2 = -6$$However the correct answer gives $$f(-1) = -\frac{1}{2}(-1+3)^3+2 = -2$$