Q: How many times will a graph with a negative discriminant touch the y-axis?

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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.

It will touch it once.

Once.

Once and the roots are said to be equal.

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It would not touch or intersect the x-axis at all.

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.

It will touch it once.

Discriminant = 116; Graph crosses the x-axis two times

Once.

It will cross the x-axis twice.

Once and the roots are said to be equal.

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 touch the x-axis and not cross it.

It will touch the x-axis once.

It will touch it at exactly 1 point. If a quadratic function is given as f(x) = ax2 + bx + c, let the discriminant be denoted as D. Then the graph of y = f(x) will cross the x-axis at the x-values x = (-b + sqrt(D))/(2a) and x = (-b - sqrt(D))/(2a). When the discriminant D = 0, these 2 x-values are actually the same. Thus the graph will touch the x-axis only once.