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Quadratics

Terms

Introduction and Summary

Graphing Parabolas

Axis of Symmetry  -  The line which divides the parabola into two symmetrical halves. In the equation for the parabola y = a(x - h) + k , the axis of symmetry is x = h .
Completing the Square  -  A process by which we add and subtract a constant to create a perfect square trinomial within an equation and transform the equation of the form y = ax 2 + bx + c into an equation of the form y = a(x - h)2 + k .
Discriminant  -  In the quadratic equation, the expression b 2 - 4ac . The discriminant determines the number of solutions to a quadratic equation, or the number of x -intercepts of a quadratic function.
Parabola  -  The shape of the graph of y = a(x - h)2 + k .
Graph of y = x 2
Quadratic Equation  -  An equation of the form ax 2 + bx + c = 0 , where a≠ 0 , and a , b , and c are real numbers.
Quadratic Formula  -  Given a quadratic equation ax 2 + bx + c = 0 , the solutions are given by the equation
x = .
Quadratic Function  -  A function of the form y = ax 2 + bx + c , where a≠ 0 , and a , b , and c are real numbers.
Vertex  -  In the equation y = a(x - h)2 + k , the point (h, k) -- the minimum point in a parabola that opens upward, or the maximum point in a parabola that opens downward.

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