1.4 Sketching Graphs of Functions Flashcards

1
Q

Function Notation

A

f(x) = af[k(x-p)]+q

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2
Q

Mapping Notation

A

(1/k x+p, ay+q)

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3
Q

Parabola

A

f(x) = a[k(x-p)]2 +q

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4
Q

Reciprocal

A

f(x) = a (1/k[x-p]) +q

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5
Q

Root

A

f(x) = a√l[k-p] +q

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6
Q

Absolute Value

A

f(x)=a(k|x-p|) +q

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7
Q

What is ‘a’?

A

Vertical stretch/compression

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8
Q

Vertical stretch if…

A

a>1 OR a<-1

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9
Q

Vertical compression if…

A

-1<a<1

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10
Q

Vertical reflection if…

A

a<0
- reflection over the x-axis

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11
Q

What is ‘k’?

A

Horizontal stretch/compression

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12
Q

Horizontal compression if…

A

k>1 OR k<-1

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13
Q

Horizontal stretch if…

A

-1<k<1

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14
Q

Horizontal reflection if…

A

k<0
- reflection over the y-axis

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15
Q

What is ‘p’?

A

Horizontal translation

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16
Q

Graph shifts right if…

A

p>0

17
Q

Graph shifts left if…

A

p<0

18
Q

What is ‘q’?

A

Vertical translation

19
Q

Graph shifts up if…

A

q>0

20
Q

Graph shifts down if…

A

q<0

21
Q

P value represents?

A
  • The vertical asymptote
  • Goes in domain
22
Q

Q value represents?

A
  • The horizontal asymptote
  • Goes in range