Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function
and the graph is shifted 3 units to the left, then we can think of a new unit u that is:
The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:
We can use this relation in the new graph and replace u as:
