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70606
Quadratic Functions
Description
Quadratic functions Mind Map on Quadratic Functions, created by owensharks on 04/05/2013.
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quadratic functions
quadratic functions
Mind Map by
owensharks
, updated more than 1 year ago
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Created by
owensharks
about 11 years ago
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Resource summary
Quadratic Functions
Quadratic formula
Rootrs/Zeros
Discriminant
b^2-4ac
Example if: if b^2-4ac=o we have no roots
If b^2-4ac>o, we have two dinstinct roots
if b^2<, we have two imaginary roots
x=-b+-^.5 b^2-ac/2
Standard form
ax^2+bx+c=0
To solve
You can Factor it
example
x^2+-5x+4=0
(x-4)(x-1)
Example of finding the squares
Or use quadraic formula
c value is the y-intercept
Graphing
changes in c
if c>0, parabola moves up
if c<0, the parabola moves down
changes in b
b>0, vertex movs down and left
b<0, vertex moves dow and right
to get to vertex form you complet the square
Vertex form
a(x-h)^2+k
example
a(3-1)+8
if a is negitive, the parabla opens up
if a is positive the graph opens down
To slove
Isolate 'x'
H and K are = to vertex
If a>0, vertex is minimum
If a<, vertex is maximum
changes in K
if K>0, the parabola shifts up
if k<0 the parabola shifts down
changes in h
if h>o, the parabola shifts right
if h<o, the parabala shifts left
Factored form
a(x-s)(x-t)
example
a(x-7)(x+7)
To solve
set each factor to = 0
Graphing
Parabola
Positive
negitive
vertex
x/y intercept
x/y coordinats
Translations
horazontal
vertical
shift and step method
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