Answer:
Graph of f(x+4) has been shown in the attached file.
Step-by-step explanation:
We have been given that [tex]f(x)=x^2[/tex]
On substituting x = x+4, we get
[tex]f(x)=(x+4)^2[/tex]
Now, we know that the parent function [tex]f(x)=x^2[/tex] represents a parabola whose vertex is at (0,0).
When we add any constant c in x then the parent function shifts c units left.
Since, we have added 4 in x, hence the graph of the given function will shift 4 units left. Thus, the vertex of the new parabola will be (-4,0)
Graph of f(x+4) has been shown in the attached file.
