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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.
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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.
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.
What is the vertex of the graph of the quadratic function fx x2 6x 10?
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Domain of function?
The domain of a function encompasses all of the possible inputs of that function. On a Cartesian graph, this would be the x axis. For example, the function y = 2x has a domain of all values of x. The function y = x/2x has a domain of all values except zero, because 2 times zero is zero, which makes the function unsolvable.
What can the degree of a polynomial tell you about the graph?
The degree is equal to the maximum number of times the graph can cross a horizontal line.
What is the maximum number of times the graph of the quadratic function can cross the x-axis?
Two.
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 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?
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 y equals -x2 plus 3 cross the x-axis A. None B. One C. Two D. Three?
The graph of y = -x^2 + 3 crosses the x-axis when y = 0. To find the number of times it crosses the x-axis, we set -x^2 + 3 = 0 and solve for x. This equation has two solutions, so the graph crosses the x-axis twice. Therefore, the answer is C. Two.
What is the formula of a quadratic function?
-b + or - the square root on b squared - 4 times a times c over 2
What is the maximum number of times that a quadratic function can intersect the x-axis and why?
A quadratic function can intersect the x-axis at most two times. This is because a quadratic function is represented by a polynomial of degree 2, and according to the Fundamental Theorem of Algebra, a polynomial of degree ( n ) can have at most ( n ) real roots. Since the degree is 2 for a quadratic function, it can have either two distinct real roots, one repeated real root, or no real roots at all, leading to a maximum of two x-axis intersections.
How many times does the graph of y equals x2-4x plus 4 intersect the x-axis?
y=x2-4x+4 y = (x-2)(x-2) x=2 the graph only crosses the x-axis at positive 2. this is the minimum of the graph and the only point that is crosses the x-axis.
A value is in the domain of a function if there is a times n on the graph at that x-value?
point
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.
