It would not touch or intersect the x-axis at all.
If you mean x2-3x+5 then the answer is none because its discriminant is less than zero
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A quadratic function will cross the x-axis twice, once, or zero times. How often, depends on the discriminant. If you write the equation in the form y = ax2 + bx + c, the so-called discriminant is the expression b2 - 4ac (it appears as part of the solution, when you solve the quadratic equation for "x" - the part under the radical sign). If the discriminant is positive, the x-axis is crossed twice; if it is zero, the x-axis is crossed once, and if the discriminant is negative, the x-axis is not crossed at all.
It will touch the x-axis and not cross it.
Discriminant = 116; Graph crosses the x-axis two times
It would not touch or intersect the x-axis at all.
If the discriminant = 0 then the graph touches the x axis at one point If the discriminant > 0 then the graph touches the x axis at two ponits If the discriminant < 0 then the graph does not meet the x axis
If you mean x2-3x+5 then the answer is none because its discriminant is less than zero
A graph of an equation in the form y = ax^2 + bx + c will cross the y-axis once - whatever its discriminant may be.
It will cross the x-axis twice.
In this case, the discriminant is less than zero and the graph of this parabola lies above the x-axis. It never crosses.
Once.
It will touch it once.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
The graph will cross the y-axis once but will not cross or touch the x-axis.
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