Functions Trig Formulas, Cheat Sheet of Mathematics

Download Functions Trig Formulas and more Cheat Sheet Mathematics in PDF only on Docsity! Functions/Trig Formulas Slope: m = y2 – y1 x2 – x1 Midpoint: (x2 + x1 , y2 + y1) 2 2 Point – Slope: y – y1 = m(x – x1) Slope – intercept: y = mx + b General form: Ax + By + C = 0 m = -A/B Average Rate of Change: y = f(x2) – f(x1) x x2 – x1 Average Velocity: s = f(t2) – f(t1) t t2 – t1 Squaring Binomials: (a + b)2 = a2 + 2ab + b2 (a - b)2 = a2 - 2ab + b2 Distance: d = (x2 – x1)2 + (y2 – y1)2 Difference Quotient: f(x + h) - f(x) where h = 0 h Circles Standard form: (x – h)2 + (y – k)2 = r2 Center: (h, k) Radius: r General form: x2 + y2 + Dx + Ey + F = 0 Quadratic Formula: x = -b + b2 – 4ac 2a Quadratic Functions: standard form, f(x) = a(x – h)2 + k Vertex = (h, k) If not in standard form, use x = -(b/2a) to find the x – coordinate of the vertex. Then substitute the x value back into the equation to obtain the y – coordinate of the vertex. Compound Interest: A = P(1 + r/n)nt Continuous Compounding: A = Pert Change of Base Formula: logbM = log M logb Heron’s Formula: A = √s(s - a)(s - b)(s - c) where a, b, and c are the side lengths and s = 1/2 perimeter or 1/2 (a + b + c)