ScienceMathAlgebraPrecalculus- Formulas
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Precalculus- Formulas

Novalee White avatar Novalee White
8 September 2022
4.7 (114 reviews)
32 test answers

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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
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m₁ = -1 / m₂
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Speed-Time-Distance
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d = rt
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Simple Interest
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I = Prt
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Compounded Interest
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A = P(1+r/n)^nt
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Carbon-14 Decay Rate
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-.00012
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Interest Compounded Continuously
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A=Pe^rt
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Half-Life Formula
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1/2 = e^rt
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Doubling Time Formula
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2 = e^rt
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Distance Formula
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d = √[( x₂ - x₁)² + (y₂ - y₁)²]
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Midpoint Formula
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(x₁+x₂/2, y₁+y₂/2)
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Circle Formula
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( x - h )² + ( y - h )² = r² Center: ( h , k )
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Complex Number
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a + bi
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Difference Quotient
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f(x + h) - f(x) / h
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Quadratic Formula
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[-b ± √(b² - 4ac)] / (2a)
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Direct Variation
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y = kx
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Inverse Variation
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y = k / x
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(f + g)(x)
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f(x) + g(x)
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(f - g)(x)
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f(x) - g(x)
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(fg)(x)
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f(x) * g(x)
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(f / g)(x)
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f(x) / g(x)
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(f º g)(x)
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f( g(x) )
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y = -f(x)
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Reflected across x-axis
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y = f(-x)
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Reflected across y-axis
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Even Function
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f(-x) = f(x)
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Odd Function
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f(-x) = -f(x)
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Log Form
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log₁₀ x = y
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Exponent Form
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10^y = x
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Change of Base Formula
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log₅ M = log₁₀ M / log₁₀ 5
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Determinant of 2x2 Matrix
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| a d | | b c | = ad - bc