Question

Using the graph of f(x)=x^2 as a guide describe the transformations and then sketch a graph of each function g(x)=(x+3)^2

Answer 1

The graph of f(x)=x^2 is:

g(x)=(x+3)^2 will have the same form because it has an expression to the second power.

The only thing that changes is the root, which is -3:

x+3=0

x=-3

So, the graph, we have to move the function 3 units to the left: