Question

The graph of g(x) is the graph of f(x) = x^2 shifted 4 units left, vertically streched by a factor of 3, then shifted 5 units up. What is the function rule for g(x)?

If you could explain the steps in how you got the answer that would be so great. :P

Answer 1

I think it would be (x)=2x2

Answer 2

f(x) = x^2

4 unit shift to left: (x^2 + 4)

vertical stretch factor of 3: 3 ( x^2 + 4)

upward shift of 5: 3(x^2 + 4) + 5

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