Question

Hi guys, thanks in advance

What is the possible discriminant of the graph?
–16

0

12

36

Answer 1

As the graph doesnt touch the x axis it means the quadratic has not got any roots .This means discriminant<0 .Can you do it now?

Answer 2

Oh! I see, as long as it doesn't touch the x axis the discriminant might turn out to be 0?

Answer 3

Nope when discriminant=0 there is only one root .The graph touches x axis exactly at one point. When D>0 there are two roots so graph cuts x axis at 2 points.The case where D<O graph floats above/below x axis as shown in your figure

Answer 4

Got it ?

Answer 5

Yes, thanks, got it now

Answer 6

Yw ...

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