0
How are the discriminant and the graph of a quadratic equation related?
Wiki User
∙ 13y ago
If the discriminant = 0 then the graph touches the x axis at one point
If the discriminant > 0 then the graph touches the x axis at two ponits
If the discriminant < 0 then the graph does not meet the x axis
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
The graph of a quadratic equation is called a?
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
How do you find the discriminant on a graph?
The discriminant is the expression under the square root of the quadratic formula.For a quadratic equation: f(x) = ax2 + bx + c = 0, can be solved by the quadratic formula:x = (-b +- sqrt(b2 - 4ac)) / (2a).So if you graph y = f(x) = ax2 + bx + c, then the values of x that solve [ f(x)=0 ] will yield y = 0. The discriminant (b2 - 4ac) will tell you something about the graph.(b2 - 4ac) > 0 : The square root will be a real number and the root of the equation will be two distinct real numbers, so the graph will cross the x-axis at two different points.(b2 - 4ac) = 0 : The square root will be zero and the roots of the equation will be a real number double root, so the graph will touch the x-axis at only one points.(b2 - 4ac) < 0 : The square root will be imaginary, and the roots of the equation will be two complex numbers, so the graph will not touch the x-axis.So by looking at the graph, you can tell if the discriminant is positive, negative, or zero.
What is the difference between linear and quadratic equations?
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
What do all graphs of quadratic functions have in common?
The graph of a quadratic equation is a parabola.
What does a quadratic equation graph have with a negative discriminant?
It has a complete lack of any x-intercepts.
The graph of a quadratic equation is called a?
The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
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.
What is the graph for quadratic equation?
the graph for a quadratic equation ct5r
What is a parabola the graph of?
It is the graph of a quadratic equation of the formy = ax^2 + bx + c
What shape does the quadratic graph make?
The graph of a quadratic equation has the shape of a parabola.
What is the graph called of a quardic equation?
The graph of a quadratic equation is a parabola
What is a quadratic equation when graphed?
The graph (on Cartesian coordinates) of a quadratic equation is a parabola.
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
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.
How do you find the discriminant on a graph?
The discriminant is the expression under the square root of the quadratic formula.For a quadratic equation: f(x) = ax2 + bx + c = 0, can be solved by the quadratic formula:x = (-b +- sqrt(b2 - 4ac)) / (2a).So if you graph y = f(x) = ax2 + bx + c, then the values of x that solve [ f(x)=0 ] will yield y = 0. The discriminant (b2 - 4ac) will tell you something about the graph.(b2 - 4ac) > 0 : The square root will be a real number and the root of the equation will be two distinct real numbers, so the graph will cross the x-axis at two different points.(b2 - 4ac) = 0 : The square root will be zero and the roots of the equation will be a real number double root, so the graph will touch the x-axis at only one points.(b2 - 4ac) < 0 : The square root will be imaginary, and the roots of the equation will be two complex numbers, so the graph will not touch the x-axis.So by looking at the graph, you can tell if the discriminant is positive, negative, or zero.
How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?
Once.
