Ex d xy = - 4 How would you rewrite this equation? Classifying Graphs Shape Standard Form Landmarks General Form ("useful" form) ("pretty" form) y = mx + b Ax + By = C 3x y = 5 – Ex: y = 3x + 5 (y k) = a(x h)2 Ax2 + Cx + Dy + E = 0 – – Ex: 4(y 3) = x2 x2 4y + 12 = 0 – – (x h) = a(y k)2 By2 + Cx + Dy + E = 0 – – Ex: 8(x 3) = (y 2)2 y2 4y 8x + 28 = 0 – – – – (x h)2 + (y k)2 = r2 x2 + y2 + Cx + Dy + E = 0 – – Ex: x2 + y2 + 8x 12y + 43 = 0 – (x+ 4)2 + (y 6)2 = 25 – Ax2 + By2 + Cx + Dy + E = 0 (coefficients of x2 & y2 same Ex: sign)
Ex d xy = - 4 How would you rewrite this equation? Classifying Graphs Shape Standard Form ("useful" form) Landmarks General Form ("pretty" form) y = mx + b Ex: y = 3x + 5 Ax + By = C 3x – y = 5 (y – k) = a(x – h)2 Ex: 4(y – 3) = x2 Ax2 + Cx + Dy + E = 0 x2 – 4y + 12 = 0 (x – h) = a(y – k)2 Ex: 8(x – 3) = (y – 2)2 By2 + Cx + Dy + E = 0 y2 – 4y – 8x + 28 = 0 (x – h)2 + (y – k)2 = r2 Ex: (x+ 4)2 + (y – 6)2 = 25 x2 + y2 + Cx + Dy + E = 0 x2 + y2 + 8x – 12y + 43 = 0 Ex: Ax2 + By2 + Cx + Dy + E = 0 (coefficients of x2 & y2 same sign)