Siow Lin Hoe's answer to lana <3's Secondary 3 A Maths Singapore question.
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Hope you can understand better. You must understand what is the meaning of b2-4ac.
a positive means it is “u” shape curve. For this case a is positive, so you will have a “u” shape curve. For y to can be negative, b2-4ac must bigger than zero (you will have two real roots)
If it is equal to zero, (you will have one root, y is equal to zero and touching one point at x-axis)
For this case, b2-4ac is always bigger than zero, except h=4.
a positive means it is “u” shape curve. For this case a is positive, so you will have a “u” shape curve. For y to can be negative, b2-4ac must bigger than zero (you will have two real roots)
If it is equal to zero, (you will have one root, y is equal to zero and touching one point at x-axis)
For this case, b2-4ac is always bigger than zero, except h=4.
Date Posted:
2 years ago