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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.
What does the rule for a quadratic function tell you about how the graph of the function will look?
If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.
Using the discriminant how many times does the graph of this equation cross the x-axis 5x squared -10x-2 equals 0?
Discriminant = (-10)2 - 4*5*(-2) = 100 + 40 > 0 So the quadratic has two real roots ie it crosses the x-axis twice.
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.
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.
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.
What is the maximum number of times the graph of the quadratic function can cross the x-axis?
Two.
