Answer
Please see the graph.
Work Step by Step
$F(x) = (x-2)^2+3$
$x=0$
$F(x) = (x-2)^2+3$
$F(0) = (0-2)^2+3$
$F(0) = (-2)^2+3$
$F(0) = 4+3$
$F(0)=7$
$x=1$
$F(x) = (x-2)^2+3$
$F(1) = (1-2)^2+3$
$F(1) = (-1)^2+3$
$F(1) = 1+3$
$F(1) = 4$
$x=2$
$F(x) = (x-2)^2+3$
$F(2) = (2-2)^2+3$
$F(2) = 0^2+3$
$F(2) = 3$
$x=3$
$F(x) = (x-2)^2+3$
$F(3) = (3-2)^2+3$
$F(3) = (1)^2+3$
$F(3) = 1+3$
$F(3) = 4$
$x=4$
$F(x) = (x-2)^2+3$
$F(4) = (4-2)^2+3$
$F(4) = (2)^2+3$
$F(4) = 4+3$
$F(4)=7$