What does a discriminant tell you about a graph?
The discriminant tells you how many solutions there are to quadratic equation or how many x intercepts there are for a parabola.
How do you graph quadratic functions?
Graph a quadratic equation in two variables.
- Write the quadratic equation with. on one side.
- Determine whether the parabola opens upward or downward.
- Find the axis of symmetry.
- Find the vertex.
- Find the y-intercept.
- Find the x-intercepts.
- Graph the parabola.
What does the quadratic formula indicate about the graph of a quadratic function?
The roots of a quadratic function can be found algebraically with the quadratic formula, and graphically by making observations about its parabola. The solutions, or roots, of a given quadratic equation are the same as the zeros, or x -intercepts, of the graph of the corresponding quadratic function.
How do you find the value of the discriminant?
The procedure to use the discriminant calculator is as follows:
- Step 1: Enter the coefficient values such as “a”, “b” and “c” in the given input fields.
- Step 2: Now click the button “Solve” to get the output.
- Step 3: The discriminant value will be displayed in the output field.
- Discriminant, D = b2 – 4ac.
What is a quadratic equation graph?
The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y -axis. The coefficients a,b, and c in the equation y=ax2+bx+c y = a x 2 + b x + c control various facets of what the parabola looks like when graphed.
Which is the graph of a quadratic equation that has a positive discriminant?
If the graph touches the x axis at two distinct points, the discriminant is positive.
What does the quadratic formula indicate?
2 Answers By Expert Tutors. The quadratic formula provides the roots (also called zeroes or x-intercepts) of a quadratic equation. A quadratic equation is a second-degree equation; its highest term is raised to the second power. Quadratic equations take the form of a parabola.
What is the discriminant value of?
|Value of Discriminant||Results|
|b2−4ac=0||One repeated rational solution|
|b2−4ac>0 b 2 − 4 a c > 0 , perfect square||Two rational solutions|
|b2−4ac>0 b 2 − 4 a c > 0 , not a perfect square||Two irrational solutions|
|b2−4ac<0||Two complex solutions|