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Finding Axis of Symmetry in Quadratic EquationCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! For finding axis of symmetry in quadratic equation, use the following steps :1) Write the given equation in vertex form. [f(x) = a(x –h ) ^{2} + k ]. 2) Use a completing square method. Examples : Write the following equation in vertex form . 1) f(x) = x ^{2}  12 x + 46 Solution : Here, a = 1 and b = 12 Add ~+mn~(–b) ^{2} /4a ^{2} =  (12) ^{2} /4 = 144/4 =~+mn~36 f(x) = y = x^{2}  12 x + 36 – 36 + 46 f(x) = ( x – 6 ) ^{2} + 10 This is a vertex form. Coordinates of vertex = ( h, k ) = ( 6, 10) Axis of symmetry = x = 6 _________________________________________________________________ 2) f(x) = x ^{2} + 6x + 10 Solution : Here a = 1 and b = 6 Add ~+mn~ (b) ^{2} /4a ^{2} = (6) ^{2} /4 = ~+mn~36/4 =~+mn~ 9 f(x) = x^{2} + 6x + 9 – 9 + 10 f(x) = ( x + 3) ^{2} + 1 This is a vertex form. Coordinates of vertex = (h,k) = ( 3 , 1) Axis of symmetry = x =  3 ______________________________________________________________________ 3) f(x) = x ^{2}  16 Solution : Here a = 1 and b = 0 Add ~+mn~ (b) ^{2} /4a ^{2} = 0 ^{2} /4 = 0 f(x) = x^{2} 16 This is a vertex form. Coordinates of vertex = (h,k) = ( 0 , 16 ) Axis of symmetry = y = 0 Introduction of Quadratic Equations • Splitting of middle term • By completing the square • Factorization using Quadratic Formula • Vertex form from Quadratic Equation • Finding Axis of Symmetry in Quadratic equation • Solved Problems on Quadratic Equation Covid19 has affected physical interactions between people. Don't let it affect your learning.
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