Standard Form (Linear) General Form (Quadratic) Difference of Squares π¨π + π©π = πͺ πππ + ππ + π = π ππ π(π) = πππ + ππ + π; π(π) ≡ π (ππ − ππ ) = (π − π)(π + π) Standard (Vertex) Form π − ππ = π(π − ππ ) π(π) = π(π − π)π + π Slope-Intercept Form π= ππ − ππ ππ − ππ (π, π) = οΏ½ π = οΏ½(ππ − ππ )π + (ππ − ππ )π ππ = (π − π)π + (π − π)π π π + π π ππ + ππ οΏ½ , οΏ½ π π π = οΏ½(π − π)π + (π − π)π r = radius, (h, k) = center of circle ππ π πππ οΏ½ π οΏ½ = ππ π π π π = πππ ππ. π≠π π −π π = π (ππ )π = πππ π π≠π (ππ)π = ππ ππ ππ = π π √π = ππ/π ; n ≠ π π π π οΏ½ √ποΏ½ = √ππ = ππ/π π = log π π βΊ ππ = π π₯π¨π π π LSC-O Learning Center −π −π −π ππ , π οΏ½ οΏ½οΏ½ ππ οΏ½ ,π − οΏ½ ππ ππ ππ ππ Equation of a Circle Midpoint Formula π₯π¨π π π = Difference of Cubes Vertex of a Parabola Distance Formula π₯π¨π π π ππ + πππ + ππ = (π + π)π ππ − πππ + ππ = (π − π)π −π ± √ππ − πππ π= ππ Slope Formula ππ + ππ ; πππππ Perfect Square Trinomial Quadratic Formula π = ππ + π Sum of Squares ππ − ππ = (π − π)οΏ½ππ + ππ + ππ οΏ½ Sum of Cubes ππ + ππ = (π + π)οΏ½ππ − ππ + ππ οΏ½ β² Tip: Use S.O.A.P. to remember the signs in the Diff. and Sum of Cubes formulas—Same, Opposite, Always Positive. π₯π π−π§ = π₯ π₯π§ π₯≠0 Find this and other math resources on the LSC-O Learning Center Math Tutorials page. ππ ππ = ππ+π http://www.lsco.edu/learningcenter/math.asp ππ + ππ = πππ οΏ½ πππ − ππ = ππ π₯π¨π π π = π; π₯π¨π π = πππ ππ. π π₯π¨π π ππ = π βTip: Use the change of base formula to convert to base 10 (log) or base e (ln). Some calculators handle only these bases. (409) 882-3373 π √π = ; π ≠π π π οΏ½ π₯π¨π π π = π πlogπ π = π π₯π¨π π π΄π = π· π₯π¨π π π΄ π₯π¨π π π = π₯π¨π π π → π = π π₯π¨π π π΄π΅ = π₯π¨π π π΄ + π₯π¨π π π΅ π΄ π₯π¨π π = π₯π¨π π π΄ − π₯π¨π π π΅ π΅ Ron E. Lewis Library building, rm. 113 EP, 7/2013 Point-Slope Formula