Answer:
g(x) = (x+3)²
Step-by-step explanation:
You start at point ( 0,0 )
The graph of f(x) is is shifted 3 units to the left to obtain the graph of g(x)...
Here is what you do:
(x,y) -----> (x-3,y)
Applying the rule of the translation at the vertex of the graph of f(x)
( 0,0 ) ------> (0-3,0)
( 0,0 )-------> (-3,0)
The vertex of the graph of g(x) is the point ( -3,0 )
So the equation of g(x) would be equaled to:
g(x) = (x+3)²
