If D > 0 then the graph intersects the x-axis 2 times.If D = 0 then the the x-axis is tangent to the graph.
If D < 0 then the graph doe not intersects the x-axis.
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.
To accurately describe the discriminant for the graph, one would need to examine the nature of the roots of the quadratic equation represented by the graph. If the graph intersects the x-axis at two distinct points, the discriminant is positive. If it touches the x-axis at one point, the discriminant is zero. If the graph does not intersect the x-axis at all, the discriminant is negative.
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.