Write a quadratic function rule for the following table

x -10 -5 0 5 10

y 80 5 -20 5 80

SKETCH A GRAPH !! Always

note
symmetric about x = 0
note
hits bottom at (0,-20) (so that is the vertex)
so
(y +20) = a x^2
at (10,80)
100 = a(100)
a = 1
so I claim
x^2 = y + 20