Math Flashcards

1
Q

Equation for a discriminant

A

b^2 − 4ac

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2
Q

What form is ax^2 + bx + c in and what does it tell you

A

Standard
c = y-intercept

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3
Q

What form is a(x−r)(x−r) in and what does it tell you?

A

Factored
Zeros

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4
Q

What form is a(x−h)^2 + k in and what does it tell you?

A

Vertex
(h,k) = vertex

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5
Q

What type of function is this: a(x−h)^2 + k

A

parabola

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6
Q

What are the transformations of a parabolic function
a(x−h)^2 + k

A

a - stretch/compression
h - horizontal translation ( - = right; + = left)
k - vertical translation

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7
Q

Linear function

A

f(x) = x

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8
Q

quadratic function

A

f(x) = x^2

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9
Q

Square root function

A

f(x) = √x

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10
Q

reciprocal function

A

f(x) = 1/x

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11
Q

absolute value function

A

f(x) = |x|

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12
Q

csc θ = ________ when ________ ≠ 0

A

1/sin θ
sin θ

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13
Q

sec θ = _____ when _________ ≠ 0

A

1/cos θ
cos θ

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14
Q

cot θ = _______ when _______ ≠ 0

A

1/tan θ
tan θ

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15
Q

tan θ = _________, when ___________ ≠ 0

A

sin θ/cos θ
cos θ

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16
Q

cot θ = _______ when _______ ≠ 0

A

cos θ/sin θ
sin θ

17
Q

__________ + ___________ = 1

A

sin^2 θ
cos^2 θ

18
Q

1 + _________ =sec^2 θ

A

tan^2 θ

19
Q

1 + __________ = csc^2 θ

A

cot2 θ

20
Q

does a regular sin or cos graph start at (0,1)

A

cos

21
Q

does a regular sin or cos graph start at (0,0)

A

sin

22
Q

the principle goes from the _____________ to the _____________

A

axis of symmetry
peak/trough

23
Q

equation for a sin or cos graph

A

a sin ( k ( x - d ) ) + c

24
Q

What are the transformations for a sin ( k ( x - d ) ) + c

A

k - horizontal stretch (compression by a factor of 1/k)
d - horizontal translation
a - vertical stretch
c - vertical translation