SOLUTION: For the function y=x^2-6x+8, perform the following tasks: Put the function in the form y=a(x-h)^2+k What is the line of symmetry?

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: For the function y=x^2-6x+8, perform the following tasks: Put the function in the form y=a(x-h)^2+k What is the line of symmetry?      Log On

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 Question 28694: For the function y=x^2-6x+8, perform the following tasks: Put the function in the form y=a(x-h)^2+k What is the line of symmetry?Found 2 solutions by venugopalramana, josmiceli:Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!For the function y=x^2-6x+8, ={X^2-2(X)(3)+3^2}-3^2+8 =(X-3)^2-1 perform the following tasks: Put the function in the form y=a(x-h)^2+k Y=1(X-3)^2-1 What is the line of symmetry?....X-3=0....OR....X=3 IS THE LINE OF SYMMETRY. Answer by josmiceli(9686)   (Show Source): You can put this solution on YOUR website![1] [2] expand this Since the coefficient of x^2 is 1, make a = 1 group the constant terms together Set the coefficients on the left equal to those on the right -2h = -6 h = 3 h^2 + k = 8 9 + k = 8 k = -1 going back to [2] expand this to check OK What is the axis of symmetry? x = +3 check does x + a give me the same y as x - a for any value of a? plug in some values for x y(3 + 1) = 0 y(3 - 1) = 0 y(3 + 2) = 3 y(3 - 2) = 3 a far out one y(3 + 12) = 143 y(3 - 12) = 143 OK