question

Slope-Intercept Form

answer

y = mx + b

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Slope-Point Form

answer

y-y1=m(x-x1)

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Slope Formula

answer

(y₂- y₁) / (x₂- x₁)

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L₁ _|_ L₂

answer

m₁ = -1 / m₂

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Speed-Time-Distance

answer

d = rt

question

Simple Interest

answer

I = Prt

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Compounded Interest

answer

A = P(1+r/n)^nt

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Carbon-14 Decay Rate

answer

-.00012

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Interest Compounded Continuously

answer

A=Pe^rt

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Half-Life Formula

answer

1/2 = e^rt

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Doubling Time Formula

answer

2 = e^rt

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Distance Formula

answer

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

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Midpoint Formula

answer

(x₁+x₂/2, y₁+y₂/2)

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Circle Formula

answer

( x - h )² + ( y - h )² = r²
Center: ( h , k )

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Complex Number

answer

a + bi

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Difference Quotient

answer

f(x + h) - f(x) / h

question

Quadratic Formula

answer

[-b ± √(b² - 4ac)] / (2a)

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Direct Variation

answer

y = kx

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Inverse Variation

answer

y = k / x

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(f + g)(x)

answer

f(x) + g(x)

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(f - g)(x)

answer

f(x) - g(x)

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(fg)(x)

answer

f(x) * g(x)

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(f / g)(x)

answer

f(x) / g(x)

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(f º g)(x)

answer

f( g(x) )

question

y = -f(x)

answer

Reflected across x-axis

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y = f(-x)

answer

Reflected across y-axis

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Even Function

answer

f(-x) = f(x)

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Odd Function

answer

f(-x) = -f(x)

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Log Form

answer

log₁₀ x = y

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Exponent Form

answer

10^y = x

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Change of Base Formula

answer

log₅ M = log₁₀ M / log₁₀ 5

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Determinant of 2x2 Matrix

answer

| a d |
| b c | = ad - bc