Enhance Your Learning with Quadratic Equations and Functions Flash Cards for quick learning
An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
The highest or lowest point on the graph of a quadratic function. It is the point where the graph changes direction.
The vertical line that passes through the vertex of a quadratic function. It divides the parabola into two symmetric halves.
The solutions to a quadratic equation. They are the x-values where the graph of the quadratic function intersects the x-axis.
The expression b^2 - 4ac in the quadratic formula. It determines the nature of the roots of a quadratic equation.
The formula used to find the roots of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a).
A method used to solve quadratic equations by adding a constant term to both sides of the equation to create a perfect square trinomial.
A function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0. It represents a parabola.
A form of a quadratic equation given by f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
An inequality involving a quadratic expression. The solutions to the inequality are the values of x that make the inequality true.
Word problems that can be solved using quadratic equations. They involve real-life situations and require the application of quadratic concepts.
The process of plotting points and drawing the curve that represents the graph of a quadratic equation.
The process of expressing a quadratic equation as the product of two binomials. It helps find the roots of the equation.
Real-life situations where quadratic equations are used to model and solve problems. Examples include projectile motion and optimization.
The coefficient of the x^2 term in a quadratic equation. It determines the shape and direction of the parabola.
The term containing the variable raised to the second power (x^2) in a quadratic equation.
The constant term (c) in a quadratic equation. It represents the y-intercept of the parabola.
The line of symmetry of a parabola. It is the vertical line passing through the vertex.
The highest or lowest point on the graph of a quadratic function. It is the point where the graph changes direction.
The solutions to a quadratic equation. They are the x-values where the graph of the quadratic function intersects the x-axis.
The expression b^2 - 4ac in the quadratic formula. It determines the nature of the roots of a quadratic equation.
A theorem used to solve quadratic inequalities. It states that if f(x) is a quadratic function, then f(x) > 0 or f(x) < 0 represents the solution set.