math formulas for ost

Point-Slope Form

𝑦 − y1 = 𝑚(𝑥 − 𝑥1)

Linear Standard Form

𝐴𝑥 + 𝐵𝑦 = C

Quadra6c Standard Form

𝑦 = Ax1 + B𝑥 + C

Vertex Form

𝑦 = A(𝑥 − h)^2 + k

Quadra6c in Intercept Form

𝑦 = (𝑥 − 𝑝)(𝑥 − 𝑞)

Axis of Symmetry

x=-b/2a

Quadra6c Formula

x=−𝑏 ± √𝑏2− 4𝑎c / 2a

Exponen6al Form

𝑦 = 𝑎(𝑏)^x

Exponential Growth

𝑦 = 𝑎(1 + 𝑟)^x

Exponen6al Decay

𝑦 = 𝑎(1 − 𝑟)^x

Arithmetic Explicit

𝑎n = 𝑎1+ 𝑑(𝑛 − 1)

Geometric Explicit

𝑎n = 𝑎1 x r^n-1

Arithmetic Recursive

a1= # an=an-1 x r

Geometric Recursive

a1= # an=an-1 x r

Slope Formula

𝑚 = 𝑦1− 𝑦2 / 𝑥1 − 𝑥2