How does the graph of g(x) = 3x^3 + 6 differ from the graph of its parent function f(x) = x3? Select all the transformations. Adding 6 translates the graph right 6 units.
The leading coefficient, 3, translates the graph up 3 units.
The leading coefficient, 6, compresses the graph vertically.
Adding 6 translates the graph up 6 units.
The leading coefficient, 3, stretches the graph vertically.

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: