SOLUTION: Hi, Do all parabolas have to cross the x-axis two times why or why not?

Question 893174: Hi,
Do all parabolas have to cross the x-axis two times why or why not?
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
No.
Simple example, , only one intercept with x-axis.
Different parabola, , moved upward by 1/8 units and y will not touch the x-axis anywhere.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
No for many reasons.
If the parabola opens on the right side or left side it will only cross the x axis at most once
The parabola might have its vertex on the x axis
The vertex might be above or below the x axis and so might not cross the x axis at all.
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