Question

What is the possible discriminant of the graph?

Answer 1

The parabola has two x-intercepts, so there are two real solutions.

This means that the discriminant is some positive number.

Answer 2

The actual equation is (x-2)(x+4) = x^2 +2x -8

So the discriminant of the polynomial x^2+2x-8 is

D = b^2 - 4ac

D = (2)^2 - 4(1)(-8)

D = 36

So the discriminant is 36

Answer 3

Luis you have a typo on the last line, but everything else is correct.

Answer 4

It's obviously that discriminant > 0