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Let's find the vertex first
in standard format of quadratic equation
the x value of vertex is given by
in your function, a=1, b =4, so
x =

= -2
then f(-2) = -3
so vertex is (-2, -3)
Second part:
X ---------Y
-4 -------- 1
-3 -------- -2
-2 -------- -3
-1 -------- -2
0 -------- 1
from these numbers, you can see that they are symmetric, that's the characteristic of a parabola