Graphs + Coordinates Flashcards

1
Q

discriminant >0

A

2 real roots

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2
Q

discriminant =0

A

1 repeated root

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3
Q

discriminant <0

A

no real roots

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4
Q

discriminant =

A

b^2-4ac

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5
Q

quadrants for y=k/x

A

1,3

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6
Q

quadrants for y=-k/x

A

2,4

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7
Q

quadrants for k/x^2

A

1,2

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8
Q

quadrants for y=-k/x^2

A

3,4

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9
Q

equation for circle, centre and radius

A

(x-a)^2 + (y-b)^2 = r^2

centre (a,b)
radius r

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10
Q

f(x) + a as a vector

A

0
a

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11
Q

f(x+a) as a vector

A

-a
0

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12
Q

what does af(x) do?

A

stretch height x a

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13
Q

what does f(ax) do?

A

stretch width x 1/a

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14
Q

-f(x) flips in which axis?

A

x

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15
Q

f(-x) flips in which axis?

A

y

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16
Q

What does |f(x)| do?

A

anything below x axis reflects up

17
Q

what does f(|x|) do?

A

anything to right of y axis reflects left