quadratic function
A function that can be written in the form f(x) = ax2+bx+c, where a,b,and c are real numbers and a ≠ 0
A quadratic function is a second-degree polynomial function in which the highest power of the variable is 2. It is defined as:
f(x) = ax^2 + bx + c
where a, b, and c are constants.
The graph of a quadratic function is a parabola, either opening upward or downward, depending on the sign of the leading coefficient, a. If a > 0, the parabola opens upward and if a < 0, the parabola opens downward. The vertex of a parabola is the point where the graph changes direction and is given by (-b/(2a), f(-b/(2a))). The axis of symmetry is the vertical line passing through the vertex. The roots of a quadratic function are the values of x that make the function equal to zero. The quadratic formula can be used to find the roots of any quadratic function: x = (-b ± √(b^2 - 4ac)) / 2a where the ± sign indicates that there are two roots, and they can be either real or complex depending on the discriminant, b^2 - 4ac. If the discriminant is positive, there are two real roots; if it is zero, there is one real root (which is also the vertex of the parabola); and if it is negative, there are two complex roots.
More Answers:
Vertical Asymptotes in Math: Causes and ExamplesY-Intercept: Definition, Examples and Applications on a Coordinate Plane.
How to Find the X-Intercepts of a Graph: A Guide to Finding Roots of Functions.