Vocabulary of a Quadratic Function Vacation…
• Quadratic functions are polynomial equations that have an _____ in the x 2 2 equation and ______ is the highest exponent of x. • The standard form of a quadratic equation is : y= 2 ax + bx + c
Graph • The graph of a quadratic equation is a parabola ___. That looks like: _____ down or _____ Opens up • We say: Opens ______
Parts of a Quadratic Graph Axis of symmetry X-intercepts solutions roots zeros vertex Y-intercepts
Definitions of the Parts… turning ____ point of • The vertex is the _____ 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: _____.
Solutions of a Quadratic Equations • 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 ________, two one or There can be _________, no ______ solutions for a quadratic equation.
Parabola’s are EVERYWHERE… • http: //www. youtube. com/watch? v=c. XOc. B ADMp 6 o