Question

suppose f(x)=x^2 what is the graph of f(x+2)

Answer 1

so if

\[f(x) = x^2\]

then

\[f(x +2) = (x + 2)^2\]

so the original function has be moved horizontally.

the original graph has a zero at x = 0

by finding the zero of f(x +2) you'll have

1. the zero of the equation

2. the shift of the graph