We know that when the coefficient a is more than 0, the quadratic graph is a smiling curve. In order for this smiling quadratic graph to be always positive, meaning it will always be above the x-axis, what this also means is that the curve does not cut the x-axis. Therefore, to find the condition, we know that discriminant must be less than 0. Solving this inequality will give the answer.

Now that you understand about quadratic graph when its coefficient a is more than 0, let’s learn about quadratic graph when its coefficient a is less than 0.

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