Question

How does the graph of f(x)=3 (x-2)^2+1 compare to the graph of g (x)=x^2

Answer 1

1) the graph of x^2 would have to be shifted 2 units to the right to obtain the graph of 3(x-2)^2 + 1.
2) The graph of 3(x-2)^2 + 1 shows a vertical stretch due to the larger coefficient (3).
3) The graph of 3( )... has been translated UP by 1 unit from its original position.