** Lesson's Content **

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** Lesson's Glossary **

**Asymptote: If the graph of a function gets close to a line but never intersects with this then line is an asymptote.**

**Axis of Symmetry: A line on which a graph is reflected onto itself. **

**Center of the ellipse: The point where the major and minor perpendicular axis intersect.**

**Center of the hyperbola: The point where the transversal and conjugate perpendicular axis intersect.**

**Completing the Square: Method that finds the constant term in an incomplete perfect square trinomial of a second degree equation to solve it. **

**Conjugate axis: The axis perpendicular to the transverse axis.**

**Conic section: A figure that is obtained slicing a double cone with a plane. (parabola, circle, hyperbola, and ellipse)**

**Ellipse All the points in a plane for which the distance to the foci (each focus) is constant.**

**Equation: A mathematical statement that has to expressions joined by the = sign. It has the right side of the equation (expression1) and the left side of the equation (expression 2) **

**Factoring: The process to brake a polynomial down into the product of several factors. **

**Factors: All whole numbers that are multiplied together to yield another number. **

**Factored Form: Any polynomial that is written as the product of polynomials of lower degree that may be obtained from the original polynomial. **

**Focus of an ellipse: Each one of the points in the major axis of the ellipse, from which sum of the distance from each to the set of points in the ellipse is constant.**

**Foci: Plural for focus.**

**Inequality: One expression that is different from another one. **

**Major axis: The major of the two perpendicular axis of symmetry in an ellipse, and in which are located the foci. **

**Minor axis: The smallest of the two perpendicular axis of symmetry in an ellipse. **

**Parabola: The u curved shape you get when graphing a quadratic equation. **

**Quadratic equation: An equation of the form **

**Quadratic formula: If ax2 + bx + c = and a is different from zero then the quadratic formula is given in terms of a, b, and c.**

**Quadratic function: Any function in the form of
f(x) = ax2 + bx + c where a is different from zero. The graph is a parabola and the largest exponent is 2. **

**Transverse axis: A segment in the hyperbola goes from vertex to vertex of the two branches, and it is contained in the line that goes through the foci. **

**Vertices of a hyperbola: Are identified as the endpoints in the line segment that is the transverse axis of the hyperbola. **

**Vertex: The lowest point for a parabola that opens up (minimum); the highest point for a parabola that opens down (maximum). **

**Vertex form of a quadratic function: The vertex form of a quadratic function is: f(x) = a(x-h)2 + k. The vertex coordinates are (h,k).**

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