Axis of Symmetry: A line on which a graph is reflected onto itself.
Completing the Square: Method that finds the constant term in an incomplete perfect square trinomial of a second degree equation to solve it.
Conic section: A figure that is obtained slicing a double cone with a plane. (parabola, circle, hyperbola, and ellipse)
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.
Function: A relation of the type that has exactly one value in the domain (independent variable) matching a value in the range (dependent variable).
Function notation: A function written with the symbol f(x) instead of y. It is read as f of x.
Parabola: The u curved shape you get when graphing a quadratic equation.
Quadratic equation: An equation of the form
ax2 + bx + c = 0 where a, b, and c are real numbers and a is different from zero.
Quadratic formula: If ax2 + bx + c =0 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.
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).
Interactive Algebraic Applets
Parabolas have focus, vertex, axis of symmetry, directriz, and latus rectum.
They may be vertical, or horizontal parabola. In this interactive applet you will be able
to explore a vertical parabola; by changing the parameters of the vertex formula.
All you have to do is to drag the sliders for a, h, and k. You will get all the
associated equations instantly updated.
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