Math help please answer and thank you with explanation

Question

Roger has the graph of F(x) = −4x 2 but needs to sketch the graph of G(x) =(x+3)^2+2/3 Describe how Roger can use the graph of F(x) to sketch the graph of G(x)

Answer 1

G(x) = (-1/4)F(x+3) + 2/3

 

The graph of G(x) is the graph of F(x) translated 3 units to the left, 2/3 of a unit up, vertically stretched (compressed by 1/4) and inverted (the - sign in front of the 1/4).