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A graph of an equation in the form y = ax^2 + bx + c will cross the y-axis once - whatever its discriminant may be.

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Q: How many times will a graph with a negative discriminant touch the y-axis?
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If the discriminant is negative the graph of the quadratic function will cross or touch the x-axis how many times?

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


When the discriminant is negative will the graph of the function cross or touch?

The graph will cross the y-axis once but will not cross or touch the x-axis.


If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?

If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.


If the discriminant is zero the graph of a quadric function will cross or touch the x axis how many times?

It will touch it once.


How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?

Once.


Given the function below what is the value of the discriminant and how many times does the graph of this function intersect or touch the x-axis?

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


How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?

It will cross the x-axis twice.


If the discriminant is zero the graph for a quadric function will cross or touch the x axis how many times?

Once and the roots are said to be equal.


If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis?

No, it will be entirely above the x-axis if the coefficient of x2 > 0, or entirely below if the coeff is <0.


If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?

It will touch the x-axis and not cross it.


If the discriminant is zero the graph of a Quadratic function will cross or touch the x-axis time(s)?

It will touch the x-axis once.


How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is zero?

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.