This is a draft cheat sheet. It is a work in progress and is not finished yet.
Quadratic Relations
|
Laws + Formulas |
|
Standard Form - y=ax2+bx+c Ex.
|
|
Vertex Form - y=a(x−h)2 +k Ex.
|
|
Factored Form - ax 2 +bx+c=a(x−p)(x−q) Ex.
|
|
Axis of Symmetry - x= −b± b2-4ac / 2a Ex.
|
|
Axis of Symmetry - x = -b / 2a Ex.
|
Factoring
|
Laws + Formulas |
|
Factoring an Expression - ax2+bx+c=(px+q)(rx+s) Ex.
|
|
Difference of Squares - a2- b2= (a-b)(a+b) Ex.
|
|
Perfect Squares - a2+2ab+b2=(a+b)2 Ex.
|
|
Factor by Grouping - When expression has 4 terms, group into pairs, factor out GCF, then factor out common binomial. Ex.
|
Trigonometry
|
Laws + Formulas |
|
Trig Ratios |
|
Sine (SOH) - sinθ = opposite / hypotenuse Ex.
|
|
Cosine (CAH) - cosθ = adjacent/ hypotenuse Ex.
|
|
Tangent (TOA) - sinθ = adjacent/opposite Ex.
|
|
Sine Law |
|
Solving for Angle - sin A/a = sin B/b = sin C /c Ex.
|
|
Solving for Side - a /sin A = b /sinB= c/sinC Ex.
|
|
Cosine Law |
|
Solving for Angle - cosA = b2+c2-a2 / 2bc Ex.
|
|
Solving for Side - a2 = b2+c2-2bc cosA Ex.
|
|
|
.
Explanation |
Standard Form : |
Vertex Form : |
Factored Form : |
Axis of Symmetry : |
Axis of Symmetry : |
|
|
|
