The graph of g(x) is the graph of f(x)=x^2 shifted 4 units left, vertically stretched by a factor of 3, then shifted 5 units up.

Question

What is the function rule for g(x)?

Answer 1

shift left: x -> x+4
stretch: y -> 3y
shift up: y ->y+5

g(x) = 3(x+4)^2+5