Question

What is the possible discriminant of the graph?

Answer 1

same as before.

Answer 2

\[\Huge 0\]

Answer 3

i still do not get it

Answer 4

this touches the x - axis at one point. that means it has one zero. in other words it is a perfect square, like for example
\[y=(x+6)^2\]

Answer 5

that means the discriminant
\[b^2-4ac=0\] because the quadratic formula says the zeros are
\[\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] and the only way this is one number is if what is inside the radical is 0

Answer 6

Alright, Learn three rules:

\[b^2-4ac>0, \text{twice intersecting on x-anis}\]
\[b^2-4ac=0, \text{single intersect}\]
\[b^2-4ac<0, \text{the graph will \not intersect}\]