a

b

c

Δ

figure

expression

fig 1

fig 2

fig 3

fig 4

fig 5

fig 6

a = 1 (slider from -4 to 10, step 0.5)
b = 1 (slider from -6 to 5, step 0.5)
c = 1 (slider from -10 to 15, step 0.5)
t(x) = a * x^(2) + b * x + c
ac: a * c
Δ: b^(2) - 4 * ac
B2 = 1
B3 = -0.5
B6 = 4
B7 = -0.5
C3 = 1.5
C4 = -2
C5 = 9
C6 = 0
D2 = 4
D4 = 0
D5 = 13.5
D7 = -8