math test 4 Flashcards

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1
Q

function

A

a relation in which every input has exactly one output

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2
Q

domain of a function

A

all possible x-values that can be input into the function

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3
Q

range of a function

A

all possible y-values output from the function

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4
Q

composition of functions

A

f(g(x))

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5
Q

parent function

A

describes an entire class of functions

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6
Q

shift graph

A

move a graph up, down, left or right

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7
Q

stretch/ scrunch graph

A

y axis expansion (multiply y value)

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8
Q

compress/ expand graph

A

x axis compression of a graph (divide x value)

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9
Q

horizontal reflection

A

y axis reflection (mirror)

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10
Q

vertical reflection

A

x axis reflection (pond)

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11
Q

standard form of a line

A

ax + by = c

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12
Q

slope intercept form

A

y = mx+ b

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13
Q

parallel slopes m1 and m2

A

m1 = m2, same slope

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14
Q

perpendicular slops m1 and m2

A

m1 = -1/m2, negative reciprocal

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15
Q

standard form of a quadratic

A

y = ax^2 + bx + c

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16
Q

vertex form of a quadratic

A

y = A(x+B^) + B

17
Q

given g(x) = Af(ax+B^)+B
what does A do

A

y stretch
(-) pond reflection

18
Q

given g(x) = Af(ax+B^)+B
what does B do

A

vertical shift

19
Q

given g(x) = Af(ax+B^)+B
what does a do

A

x compression
(-) mirror reflection

20
Q

given g(x) = Af(ax+B^)+B
what does B^/a do

A

x shift (opp direction)

21
Q

order of transformations!!!!!!!

A

1) stretch/ scrunch
2) reflect
3) shift
stupid scoundrels ravage shit

22
Q

where is y-axis on the equation

A

outside parenthesis
Af (ax+B^) +B

23
Q

where is x-axis on the equation

A

inside parenthesis
Af (ax+B^) +B

24
Q

how to find the parallel of a linear equation

A

any # but B
+6 –> +7

25
Q

how to find the perpendicular of a linear equation

A

the opposite of a
3x –> -1/3

26
Q

how to find vertex in super cool vertex form of quadratic equations trick

A

(-B^, B)

27
Q

how to find stretch in super cool vertex form of quadratic equations trick

A

A

28
Q

stretch fraction movements:

A

y - stretch/ compress

29
Q

fraction X in an equation movements:

A

left/ right
y= - 3/2x + 1
down 3 right 2

30
Q
A