# Precalculus- Formulas

## Unlock all answers in this set

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Slope-Intercept Form
y = mx + b
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Slope-Point Form
y-y1=m(x-x1)
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Slope Formula
(y₂- y₁) / (x₂- x₁)
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L₁ _|_ L₂
m₁ = -1 / m₂
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Speed-Time-Distance
d = rt
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Simple Interest
I = Prt
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Compounded Interest
A = P(1+r/n)^nt
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Carbon-14 Decay Rate
-.00012
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Interest Compounded Continuously
A=Pe^rt
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Half-Life Formula
1/2 = e^rt
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Doubling Time Formula
2 = e^rt
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Distance Formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
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Midpoint Formula
(x₁+x₂/2, y₁+y₂/2)
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Circle Formula
( x - h )² + ( y - h )² = r² Center: ( h , k )
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Complex Number
a + bi
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Difference Quotient
f(x + h) - f(x) / h
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[-b ± √(b² - 4ac)] / (2a)
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Direct Variation
y = kx
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Inverse Variation
y = k / x
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(f + g)(x)
f(x) + g(x)
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(f - g)(x)
f(x) - g(x)
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(fg)(x)
f(x) * g(x)
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(f / g)(x)
f(x) / g(x)
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(f º g)(x)
f( g(x) )
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y = -f(x)
Reflected across x-axis
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y = f(-x)
Reflected across y-axis
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Even Function
f(-x) = f(x)
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Odd Function
f(-x) = -f(x)
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Log Form