Answer:
Adding 6 translates the graph up 6 units.
The leading coefficient, 3, stretches the graph vertically.
Red: 3x^3+6
Blue:x^3
When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.
I hope this good enough: