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Trigonometry > Midterm #1 > Flashcards

Midterm #1 Flashcards

1
Q

Even function parity definition

A

f(-x)=f(x)

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2
Q

Odd function parity definition

A

f(-x)=-f(x)

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3
Q

What is the only function that is both even and odd?

A

Zero/constant function

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4
Q

What is the formula for linear functions?

A

y=ax+b

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5
Q

What is the standard form for transformations?

A

Af(B(x-h))+k

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6
Q

What is the transformation A on the standard form?

A

Vertical stretch/shrink

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7
Q

What if A in standard form is negative, what is the transformation?

A

Vertical stretch/shrink AND vertical reflection

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8
Q

What is the transformation for k in standard form?

A

Vertical shift

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9
Q

What is the transformation for B in standard form?

A

Horizontal stretch/shrink

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10
Q

What if the transformation for B is negative in standard form?

A

Horizontal stretch/shrink AND horizontal reflection

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11
Q

In standard form if B = 1/2 what are you horizontally stretching it by?

A

2

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12
Q

In standard form if B = 2 what are you horizontally stretching it by?

A

1/2

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13
Q

What is the transformation for h in standard form?

A

Horizontal shift

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14
Q

When doing transformations are you supposed to do vertical or horizontal first?

A

Vertical

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15
Q

Vertical stretch by 2 (what do you multiply/add to y/x)

A

Multiply y-coord by 2

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16
Q

Vertical shift down by 5 (what do you multiply/add to y/x)

A

Subtract 5 from y-coord

17
Q

Vertical reflection by -1 (what do you multiply/add to y/x)

A

Multiply y-coord by -1

18
Q

Horizontal stretch by -4 (what do you multiply/add to y/x)

A

Multiply y-coords by -1/4

19
Q

Horizontal shift right by 4 (what do you multiply/add to y/x)

A

Add 4 to x-coords

20
Q

What is the formula for the midline?

A

y=1/2(max output + minimum output)

21
Q

What is the formula for amplitude?

A

y=1/2(max output - minimum output)

22
Q

What is the pythagorean theorem?

A

a^2 + b^2 = c^2

23
Q

What does the CAH in SOHCAHTOA stand for?

A

Cos(θ) = adjacent / hypotinus

24
Q

What does the SOH in SOHCAHTOA stand for?

A

Sin(θ) = opposite / hypotinus

25
Q

What does the TOA in SOHCAHTOA stand for?

A

Tan(θ) = opposite / adjacent

26
Q

What is the pythagorean identity formula?

A

(cos(θ))^2 + (sin(θ))^2 = 1

27
Q

What is the area of a triangle?

A

1/2(base)(height)

28
Q

Is cos(θ) the x or y coord?

A

x-coord

29
Q

Is sin(θ) the x or y coord?

A

y-coord

30
Q

Is -f(x) vertical or horizontal?

A

Vertical

31
Q

Is f(-x) vertical or horizontal?

A

Horizontal

32
Q

Do vertical functions affect y-coords or x-coords?

A

y-coords

33
Q

Do horizontal functions affect y-coords or x-coords?

A

x-coords

34
Q
A

Trigonometry (1 decks)

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