December 5 2016 Quadratic functions are polynomial equations that have an in the equation and is the highest exponent of x The standard form of a quadratic equation is ID: 748474
Download Presentation The PPT/PDF document "Vocabulary of a Quadratic Function Vacat..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Vocabulary of a Quadratic Function Vacation…
December 5, 2016Slide2
Quadratic functions are polynomial equations that have an __________ in the equation and ____________ is the highest exponent of x.
The standard form of a quadratic equation is :
y = ax
2
+ bx + c
x2
2Slide3
Graph
The graph of a quadratic equation is a __
________
___ . That looks like:
We say: ___________ or _________
Opens down
Opens up
parabolaSlide4
Parts of a Quadratic Graph
Axis of symmetry
X-intercepts
solutions
roots
zeros
vertex
Y-interceptsSlide5
Definitions of the Parts…
The
vertex
is the __________ ________ of the equation, and written as an ordered pair
(h,k) .Every parabola has an axis of symmetry. The ________ of __________ is the line of ____________ 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 equal to the ____ value of the vertex, written as _________.
turning pointaxis
symmetry
reflection
x
x = hSlide6
Definitions continued…
The domain, the ___ values, of the function is ________________.
The
range
, the ____ values, are limited by a ____________ or _____________ value. This value is the y value in the vertex. xall real numbers
maximumminimum
ySlide7
A parabola that opens ________ has a _________ value. The range for parabolas with a minimum value must be ________ than or equal to the ____________________.
Written as: _________.upward
minimum
greater
y-value of the vertexSlide8
A parabola that opens _____________has a ___________ value. The range for parabolas with a maximum value must be ________ than or equal to the _____________________.
Written as: _________.
downward
maximum
lessy-value of the vertexSlide9
Solutions of a Quadratic Equations
The word
solutions
for the quadratic equation are the
value(s) for x when y=0. These are also the _____ intercepts of the equation. They also called ________, ________, and ___________. There can be _________, _________, or ______ solutions for a quadratic equation.x
zeros roots
solutions
no
two
oneSlide10
Parabola’s are EVERYWHERE…
http://www.youtube.com/watch?v=cXOcBADMp6o