1.7-1.9 Flashcards

1
Q

h(x)=f(x)+c

A

a vertical shift c units up

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2
Q

h(x)=f(x)-c

A

a vertical shift c units down

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3
Q

h(x)=f(x-c)

A

horizontal shift c units to the right

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4
Q

h(x)=f(x+c)

A

horizontal shift c units to the left

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5
Q

shift x^2 up two units

A

f(x)=x^2+2

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6
Q

shift x^2 to the right 2 units

A

f(x)=(x-2)^2

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7
Q

h(x)=-f(x)

A

reflection over the x axis

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8
Q

h(x)=f(-x)

A

reflection over the y axis

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9
Q

reflection over x or y?

-x^4+2

A

x

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10
Q

reflection over x or y?

-(x-3)^4

A

x

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11
Q

reflection over x or y?

-sqrt/X

A

x

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12
Q

reflection over x or y?

sqrt/-x

A

y axis

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13
Q

what is true about the sign of a square root and the axis flip

A

if the negative is it the roo, its y axis. if its outside the root, its positive

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14
Q

(f+g)(x)

A

add the functions

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15
Q

(f-g)(x)

A

subtract the fuctions

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16
Q

what do you do when subtracting functions

A

distribute the negative

17
Q

(fg)(x)

A

multiply the functions FOIL

18
Q

(f/g)(x)

A

divide functions. order matters

19
Q

how do you divide functions

A

rationalize denom, multiply by recipricol if theres a fraction

20
Q

what do you replace y with at the end of a inverse function

A

f^-1(x)

21
Q

fog

A

use the function of f and plug in g

22
Q

gof

A

use the funtion of g and plug in f