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

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

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.


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

Once.


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.


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 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 crosses the x-axis twice?

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.


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.


The graph of a certain quadratic function does not cross the x-axis Which of the following are possible values for the discriminant Check all that apply?

-1 -18 -25 -7


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.


How many times does the graph of the function below touch or cross the x-axis 4x2-7x 40?

Without knowing the plus or minus value of 40 it's difficult to say but in general:- If the discriminant of a quadratic equation = 0 then it touches the x axis at 1 point If the discriminant is greater than zero then it touches the x axis at 2 points If the discriminant is less than zero then it does not touch 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.