A
Step-by-step explanation:
The transformation is .
4*g(x+5) means g(x) is vertically shifted by a factor if 4 by multiplying the entire function by 4. The values increase and are stretched (not shrunk to smaller).
g(x+5) means the input x is increased by 5 each time. This results in a horizontal shift left on the graph
The answer is A. The graph of h is the graph of g vertically stretched by a factor of 4 and shifted 5 units to the left.
