the initial function is:
[tex]y=4x-3[/tex]now we replace the values in x that gives the table so:
for -2:
[tex]\begin{gathered} y=4(-2)-3 \\ y=-8-3 \\ y=-11 \end{gathered}[/tex]for 0:
[tex]\begin{gathered} y=4(0)-3 \\ y=-3 \end{gathered}[/tex]for 2:
[tex]\begin{gathered} y=4(2)-3 \\ y=5 \end{gathered}[/tex]for 4:
[tex]\begin{gathered} y=4(4)-3 \\ y=13 \end{gathered}[/tex]