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Mathematics 14 Online
OpenStudy (callisto):

Equations - Quadratic equations and graphs #1

OpenStudy (callisto):

Perhaps this is not difficult, I'm not sure, but I can't get the answer :S

OpenStudy (ash2326):

@Callisto we have \[y=ax^2+bx+c\] In the figure, we notice that parabola is opening up \[=> a\ is\ postive\]

OpenStudy (callisto):

Do you get B as well?

OpenStudy (ash2326):

Another important thing to notice is that the parabola can never intersect x-axis or it has no real zeros

OpenStudy (anonymous):

B, it is.

OpenStudy (ash2326):

This implies \[=> Discriminant\ is\ negative\]

OpenStudy (ash2326):

or \[b^2-4ac<0\]

OpenStudy (anonymous):

B.

OpenStudy (callisto):

I got B too. But the answer is D. Then I was thinking... are those all I've learnt wrong?!

OpenStudy (anonymous):

If a was less than 0, the graph would have a max not a min.

OpenStudy (callisto):

c is the y-int , so c>0

OpenStudy (ash2326):

Now we have to find the sign of c \[ b^2-4ac<0\] \[ b^2-\underline{4ac}<0\] a>0 so c>0 to make 4ac>0 so it's b

OpenStudy (callisto):

So, I just want to make sure that I got the correct one. Thanks! especially a big thanks to @ash2326 (Actually, I knew them all... sorry for causing you so much time to explain)

OpenStudy (ash2326):

No worries, I helped you=>I helped myself

OpenStudy (anonymous):

So Callisto's been using us :o

OpenStudy (callisto):

Using? Why?

OpenStudy (anonymous):

I was trolling hehe ...Sorry. :D

OpenStudy (callisto):

Oh... no sorry :)

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