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Quadratics

1 Axis of Symmetry

1.1 A line through a shape so that each
side is a mirror image. When the shape
is folded in half along the axis of
symmetry, then the two halves match
up.

1.1.1 "Axis of Symmetry." Mathisfun. N.p., n.d. Web. 13 Sept. 2015.

1.2 "Axis of Symmetry of a Parabola."
Axis of Symmetry of a Parabola.
N.p., n.d. Web. 13 Sept. 2015.

2 Vertex

2.1 The vertex is the minimum
or the maximum of the
quadratic equation.

2.2 Equation=(x)=a(x-h)^2+k

2.3 "The Math Blog." : Vertex of
a Parabola. N.p., n.d. Web.
13 Sept. 2015.

3 Parabola

3.1 a plane curve formed by the intersection of a
right circular cone with a plane parallel to a
generator of the cone

3.1.1 "Parabola." Dictionary.com. Dictionary.com, n.d. Web. 13 Sept. 2015.

3.2 "Pauls Online Notes : Algebra
- Parabolas." Pauls Online
Notes : Algebra - Parabolas.
N.p., n.d. Web. 13 Sept. 2015.

4 Minimum

4.1 The minimum is the vertex when the parabola
opens up and the vertex is the lowest point.

4.1.1 It can be found
with 2 of the
quadratic
equations:
ax^2+bx+c,
a(x-h)^2+K, or by
graphing the
parabola

4.1.1.1 "How to Find the Maximum or Minimum
Value of a Quadratic Function Easily."
WikiHow. N.p., n.d. Web. 13 Sept. 2015.

5 Maximum

5.1 The maximum is the vertex
when the parabola opens
down and the vertex is the
highest point

5.1.1 It can be found
with 2 of the
quadratic
equations:
ax^2+bx+c,
a(x-h)^2+K, or
by graphing
the parabola

6 X-intercepts

6.1 The x-intercepts, roots, or
zeroes, are the points in
which the quadratic
crosses the x-axis

6.2 The easiest way to find the
x-intercepts is to graph the
parabola, but using the
factored form equation
(x-+h)(x-+k), h and k would be
the x-intercepts, but with
opposite signs

6.2.1 "Parabola Intercepts." . How to
Find the X Intercept and Y
Intercept. N.p., n.d. Web. 13 Sept.
2015.

7 Y-intercept

7.1 The y-intercept is the point at
which the quadratic crosses the
y-axis

7.2 Equation to find the
y-intercept=ax^2+bx+c,
c=y-intercept

8 Zeros of the Function

8.1 The zero of a function is the x-value
that makes the function equal to 0

8.1.1 "What's the Zero of a Function?"
What's the Zero of a Function? N.p.,
n.d. Web. 13 Sept. 2015.

8.2 The easiest way to do this is to put
your equation into standard form,
(x)=ax^2+bx+c. Then you write in 0
where (x) is, then solve for x. That
gives you the zero of the function

9 Roots of the Equation

9.1 The roots of the equation are the x-values of the equation

9.2 The easiest way to find
the x-intercepts is to
graph the parabola, but
using the factored form
equation (x-+h)(x-+k), h
and k would be the
x-intercepts, but with
opposite signs

10 End Behavior

10.1 The appearance of a graph as
it is followed farther and
farther in either direction. For
polynomials, the end behavior
is indicated by drawing the
positions of the arms of the
graph, which may be pointed
up or down. Other graphs
may also have end behavior
indicated in terms of the
arms, or in terms of
asymptotes or limits.

10.1.1 "Mathwords: End Behavior."
Mathwords: End Behavior.
N.p., n.d. Web. 13 Sept. 2015.

10.1.2 "College
Algebra."
Virtual Math
Lab. N.p.,
n.d. Web. 13
Sept. 2015.

11 Discriminant

11.1 The Discriminant of an
equation gives an idea of
the number of roots and
the nature of roots of the
equation.

11.1.1 D = b2 - 4ac.

11.1.2 "Discriminant." Definition
and Examples Discriminant.
N.p., n.d. Web. 13 Sept.
2015.

12 Difference of Squares

12.1 The difference of two squares is the
product of sum of two numbers and their
difference.

12.1.1 "Difference of Two Squares." -
Definition, Formula & Examples.
N.p., n.d. Web. 13 Sept. 2015.

12.1.2 "Math Conjugates: Definition &
Explanation | Study.com." Study.com.
N.p., n.d. Web. 13 Sept. 2015.

13 Perfect Square Trinomial

13.1 A Perfect Square Trinomial is the
expansion of a Binomial Squared.

13.1.1 "How Do I Know If My Trinomial Is a
Perfect Square Trinomial?" (n.d.): n.
pag. Web.Cerritos. Web. 13 Sept.
2015.

13.1.2 a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2

14 Factors of a Quadratic

14.1 Factoring quadratics finds the roots or
x-intercepts of a quadratic equation.
Factoring quadratic equations in
standard form, , can often be
accomplished by finding two numbers
that add to give b, and multiply to give
ac.

14.1.1 "Chegg.com." Definition of Factoring
Quadratics. N.p., n.d. Web. 13 Sept. 2015.

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