The given equation is
[tex]f(x)=x+4[/tex]To draw it we have to find 2 points belonging to it, then
Put x = 0 and find y, then put y = 0 and find x
[tex]\begin{gathered} x=0,y=0+4=4 \\ \\ y=0,0=x+4,x=-4 \end{gathered}[/tex]The two points are (0, 4) and (-4, 0)
We will change the y-intercept (0, 4) to (0, 2)
That means we will translate the line down 2 units
The equation of the new line is
[tex]y=x+2[/tex]The red line represents the first equation f(x) = x + 4
The blue line represents the new equation y = x + 2