No, sometimes the entire graph is completely above (or completely below) the x axis.
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Yes. A quadratic function can have 0, 1, or 2 x-intercepts, and 0, 1, or 2 y-intercepts.
The vertex must be half way between the two x intercepts
(x + 5)(x - 2)x2 + 3x - 10this is your quadratic equation
Only if the discriminant of its equation is greater than zero will it have 2 different x intercepts.
You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial factors! Source: I am in Algebra 2 Honors!