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Vocabulary of a Quadratic Function Vacation… December 5, 2016 • Quadratic functions are polynomial equations that have an __________ in the x2 2 equation and ____________ is the highest exponent of x. • The standard form of a quadratic equation is : y= 2 ax + bx + c • The graph of a quadratic equation is a parabola _____________ . That looks like: down or • We say: Opens ___________ Opens up _________ Axis of symmetry X-intercepts solutions roots zeros vertex Y-intercepts • The vertex is the __________ turning ________ point of the equation, and written as an ordered pair (h,k) . • Every parabola has an axis of symmetry. The axis of __________ ________ symmetry is the line of reflection where the image on one side ____________ of the graph is the mirror image on the other side of the graph. This is the linear equation x value of the vertex, written equal to the ____ x=h as _________. Definitions continued… x values, of the • The domain, the ___ all real numbers function is ________________. y values, are limited • The range, the ____ minimum or _____________ maximum by a ____________ value. This value is the y value in the vertex. A parabola that opens upward ________ has a minimum _________ value. The range for parabolas with a minimum greater value must be ________ than or equal to the ____________________. y-value of the vertex Written as: _________. A parabola that opens downward _____________has a maximum value. The ___________ range for parabolas with a maximum value must be less than or equal to the ________ y-value of the vertex _____________________. Written as: _________. • The word solutions for the quadratic equation are the value(s) for x when x y=0. These are also the _____ intercepts of the equation. They also called zeros roots solutions and ___________. ________, ________, There can be _________, two _________, one or no ______ solutions for a quadratic equation. Parabola’s are EVERYWHERE… • http://www.youtube.com/watch?v=cXOcB ADMp6o