Question

What is the possible discriminant of the graph?
a. –11
b. 0
c. 18
d. 36

Answer 1

i think its d, 36. Am i right?

Answer 2

A graph does not have discriminant. We call discriminant to this: \[\sqrt{b^2-4ac}\]

Answer 3

yea but dont u have to figure it out somehow?

Answer 4

this is what i did, hold on

Answer 5

That graph represents a quadratic function which roots depends on the value of the determinant.

Answer 6

x = -4 and x = 2
So, (x - 4) (x + 2) = 0
-4 * 2 = - 8 and - 4 + 2 = -2
y = x^2 - 2x - 8

b^2 - 4ac
(-2)^2 - 4(1)(-8)
4 + 32
=36 Discriminate,

SO you have to work backwards, am i right?

Answer 7

As you can see there are two different roots, and there are real numbers. So the value of the discriminant must be positive.

Answer 8

Exactly, you''re right!

Answer 9

so d?

Answer 10

yes d