GMAT GRE 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade 7th grade math 8th grade math 9th grade math 10th grade math 11th grade math 12th grade math Precalculus Worksheets Chapter wise Test MCQ's Math Dictionary Graph Dictionary Multiplicative tables Math Teasers NTSE Chinese Numbers CBSE Sample Papers |
Finding Axis of Symmetry in Quadratic EquationCovid-19 has led the world to go through a phenomenal transition . E-learning 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 = x2 - 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) = x2 + 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) = x2 -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 Covid-19 has affected physical interactions between people. Don't let it affect your learning.
More To Explore
|