Quadratics Flashcards

1
Q

if a is +ve

A

open up curve U

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2
Q

if a is -ve

A

open down curve ^

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3
Q
A

quadratic form

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4
Q

quadratic formula

A
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5
Q
A

completing the square form

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6
Q

exact form

A

keep as fraction

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7
Q

h=

A

h=b/2a

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8
Q

k=

A

k=c-b^2/4a

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9
Q
A
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10
Q
A
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11
Q
A
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12
Q
A
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13
Q

if its a root

A

always put +-

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14
Q

points of intersection

A

equate

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15
Q

x^2 x x^4

A

= x^6

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16
Q

if ax^4 + bx^2 + c =0

A

sub u=x^2

17
Q

if ax^6 + bx^3 +c=0

A

sub u=square root of x

18
Q

discriminant

A

b^2-4ac

19
Q

if b^2-4ac>0

A

2 distinct real roots, graph crosses the x-axis at 2 distinct points

20
Q

if b^2-4ac=0

A

one real root is sometimes called 2 repeated roots or equal roots

21
Q

if b^2-4ac<0

A

then no real roots or graph does not touch the x axis at all

22
Q

x^1/2=u

A

x=u^2

23
Q

x^1/3=u

A

x=u^3

24
Q

x^1/4=u

A

x=u^4

25
Q

area of a rectangle=

A

l*w

26
Q

when they say no sattionary point it basically means

A

no real roots so b^2-4ac<0

27
Q

square root of x * square root of x

A

x