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. What is the function rule of g(x)?

Question

can someone explain how to get the correct answer? how do i solve this?

Answer 1

step one is xnew = x+4 to shift left y = (x+4)^2 so zero at x = -4
step two is y' = 3 y to multiply function by three y = 3(x+4)^2
step three more up 5, y = 5 + 3(x+4)^2
so g(x) = 3 (x+4)^2 + 5

Answer 2

Thank you so much!!

Answer 3

You are welcome.