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For which quadratic equation is the axis of  symmetry x=3?    

Chris766

by Chris766 at December 25, 2009

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Hi Chris - A quadratic function is simply a parabola.  Imagine a parabola on a graph that points either up or down.  Now split it in half with the line x=3. The vertex form of a parabola that points up or down is: y = a(x-h)^2 + k, where (h,k) is the vertex. The axis of symmetry (x=3) must pass directly through the vertex. Therefore, the general solution to your problem is: y = a(x-3)^2 + k Any real number values for a or k will work.  Try it out using some values for a and k (both negative and positive).  Graph it and see if you get a parabola that is symmetric with x=3. Hope this helped

Steve204 Steve204 December 26, 2009

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