The function f(x) = 4x. The graph of g(x) is f(x) vertically stretched by a factor of 6 and reflected in the y-axis. What is the function rule for g(x)?
Multiplying f(x) by 6 creates a vertical stretch of factor 6. To reflect across the y-axis we replace x with (-x).
The graph of f(x) (red), 6f(x) in blue(vertical stretch) and g(x) (reflection over y-axis) (green):