Question

Look at the graph above and comment on the sign of the discriminant. Form the quadratic equation based on the information provided and find its solutions.

Answer 1

there are two zeros so the discriminant is positive

Answer 2

this one is hard...

Answer 3

lol @hero

Answer 4

I hope this is the LAST GRAPH question for the last two weeks of this class

Answer 5

its not.

Answer 6

it can't be. Its too simple.

Answer 7

There are two real solutions therefore the discriminant is positive. Yes it is that simple lol.

Answer 8

I don't understand.. How do I find its solutions?

Answer 9

The solutions are \[x = .67\] and \[x = -.16\] Solutions are where the graph crosses the x axis.

Answer 10

Now its starting to make sense. But still really confused.
lol

Answer 11

Do you have to find the equation of the graph too??

Answer 12

What is confusing and i will try to explain.

Answer 13

Comment on the sign of th

Answer 14

e discriminate. Form the quadratic equation based on the information, and find the solutions.

Answer 15

Oh ok.. So do you understand how we can tell if the discriminant is positive?

Answer 16

nope

Answer 17

Ok

Answer 18

What you have is a Quadratic Function

Answer 19

And to solve a Quadratic Function you use the Quadratic Formula

Answer 20

\[\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\] This is the Quadratic Formula

Answer 21

The Discriminant is \[b^2 - 4ac\]

Answer 22

If the discriminant is negative, then you will be taking square root of a negative number which is imaginary or complex

Answer 23

And if the discriminant is positive then the square root of a positive number is a real number. The solutions in the graph are real because they dont contain the imaginary "i" therefore we can say the discriminant is positive.

Answer 24

ok.
That makes sense.

Answer 25

Thats all I had to do???

Answer 26

Yep thats it.

Answer 27

I did that 5 times thinking it was incorrect!!!
GRRRR
Thank you so very much!

Answer 28

No problem! Do you understand what all i did?

Answer 29

oh wait just a sec.

Answer 30

I wasnt paying attention. Your solutions are \[x = -1\] and \[x = .67\] so you FOIL\[(x + 1)(x-.67)\] together.

Answer 31

I do understand, I am snipping this so I can add it to my notes. THANKS A BUNCH!

Answer 32

\[x^2 -.67x + x -.67\] Add like terms and you get \[x^2 + .33x -.67\] That is the correct equation.

Answer 33

THANK YOU SO MUCH!!!

Answer 34

No problem!!

Answer 35

I deleted what i told you wrong so you have all right information so you can re-snip it and not get confused later on.