Key Terms Chapter 10: Quadratic Equations
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- Axis of Symmetry
- The axis of symmetry is the vertical line passing through the middle of the parabola y=ax2+bx+c.
- Completing the Square
- Completing the square is a method used to solve quadratic equations.
- Consecutive Even Integers
- Consecutive even integers are even integers that follow right after one another. If an even integer is represented by 𝑛n, the next consecutive even integer is n+2, and the next after that is n+4.
- Consecutive Odd Integers
- Consecutive odd integers are odd integers that follow right after one another. If an odd integer is represented by 𝑛n, the next consecutive odd integer is n+2, and the next after that is n+4.
- Discriminant
- In the Quadratic Formula, x=−b±√b2−4ac2a the quantity b2−4ac is called the discriminant.
- Parabola
- The graph of a quadratic equation in two variables is a parabola.
- Quadratic Equation
- A quadratic equation is an equation of the form ax2+bx+c=0, where a≠0.
- Quadratic Wquation in Two Variables
- A quadratic equation in two variables, where a, b, and c are real numbers and a≠0 is an equation of the form y=ax2+bx+c.
- Square Root Property
- The Square Root Property states that, if x2=k and k≥0, then x=√k or x=−√k.
- Vertex
- The point on the parabola that is on the axis of symmetry is called the vertex of the parabola; it is the lowest or highest point on the parabola, depending on whether the parabola opens upwards or downwards.
- x-intercepts of a Parabola
- The x-intercepts are the points on the parabola where y=0.
- y-intercept of a Parabola
- The y-intercept is the point on the parabola where 𝑥=0.