Question

What is the possible discriminant of the graph?

Answer 1

How do I figure this out?
Answer choices:
–13

0

16

21

Answer 2

Discriminant=\[b ^{2}-4ac\]
Steps)
1.Find the equation of the parabola. Use the vertex form:
\[y=a(x-h)^{2}+k\]
2.Make the equation in standard form: \[Ax ^{2}+Bx+C=0\]
3. Then substitute A,B, C to the discriminant formula..

Answer 3

it does not cross the \(x\) axis
so it has no zeros
therefore the discriminant is negative

Answer 4

i think the point of this problem is not to actually find the discriminant, but to see if you understand that crossing the \(x\) axis is a synonym for having a zero
if it has not zeros, the discriminant is negative

Answer 5

In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. When the discriminant is negative, that means you have no real solutions..

Answer 6

if i has two zeros, i.e. crosses the \(x\) axis twice, then the discriminant is positive
it if has one zero, i .e. touches the \(x\) axis, then the discriminant is zero

Answer 7

Parabola with two x-intercepts (positive discriminant)

Answer 8

Parabola with one x-intercept (zero discriminant)

Answer 9

Parabola with no x-intercept (negative discriminant)

Answer 10

So it's -13? Since it has to be negative?

Answer 11

Yes. It is possible that -13 is the discriminant. It's the only negative right?

Answer 12

Yes

Answer 13

I hope that solved your question! :)

Answer 14

It did thank you :)
So is this one -17?

Answer 15

Answer choices
–17

0

12

49

Answer 16

This one is zero... Did you see the graph/picture I posted on here?

Answer 17

Which graph?

Answer 18

I don't understand.

Answer 19

The one that says "Parabola with one x-intercept (zero discriminant)"

Answer 20

Ohhh okay. Thank you!

Answer 21

No problem! Anytime.