The graph will cross the y-axis once but will not cross or touch the x-axis.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
Once.
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 touch it once.
Once and the roots are said to be equal.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
It would not touch or intersect the x-axis at all.
Once.
No, it will be entirely above the x-axis if the coefficient of x2 > 0, or entirely below if the coeff is <0.
It will cross the x-axis twice.
It will touch the x-axis and not cross it.
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 touch it once.
Once and the roots are said to be equal.
It will touch the x-axis once.
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.
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