First We see the function has its lowest point at y=4 and we see that the type of function is an absolute function.
So, the function must be
[tex]f(x)=\mleft|x\mright|+4[/tex]
we can probe with some points
x f(x)
1 5
-1 5
0 4
The points of the graph match with the results of replacing values in the equation.
