graph transformations Flashcards

1
Q

Positive odd integer

A

disco

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2
Q

positive even integer

A

goal posts

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3
Q

Negative even integer

A

volcano

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4
Q

negative odd integer

A

snake opposites

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5
Q

Square root graph

A

f(x)=sqr x

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6
Q

absolute value graph

A

f(x)= abs x

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7
Q

Parabola

A

f(x)= x^2

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8
Q

Cubic

A

f(x)= x^3

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9
Q

f(x) + c

A

shifted up c units

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10
Q

f(x)- c

A

shifted down c units

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11
Q

f(x +c)

A

shifted to the left c units

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12
Q

f(x - c)

A

shifted to the right c units

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13
Q

c(f(x))

A

vertically stretched by a factor of c

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14
Q

1/c (f(x))

A

vertically shrunk by a factor of c

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15
Q

f(c(x))

A

horizontally shrunk by a factor of c

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16
Q

f(1/c(x))

A

horizontally stretched by a factor of c

17
Q

-f(x)

A

vertically reflected (x axis)

18
Q

f(-x)

A

horizontally reflected (y axis)

19
Q

What is end behavior

A

what y is doing when x is either negative infinity or positive infinity

20
Q

Graphs concave up when

A

the exponent is greater than 1

21
Q

graphs concave down when

A

the exponent is between 0 and 1

22
Q

on the outside the

A

x is affected

23
Q

on the inside the

A

y is affected