# SOLUTION: Find the vertex, line of symmetry, maximum/minimum value and then graph the function. f(x) = 1/2 (x+4)^2 + 6 I'm thrown off by the fractions, and the whole equation. Can som

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Find the vertex, line of symmetry, maximum/minimum value and then graph the function. f(x) = 1/2 (x+4)^2 + 6 I'm thrown off by the fractions, and the whole equation. Can som      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 133003: Find the vertex, line of symmetry, maximum/minimum value and then graph the function. f(x) = 1/2 (x+4)^2 + 6 I'm thrown off by the fractions, and the whole equation. Can someone help me figure out how to solve this type of problem.Found 2 solutions by solver91311, jim_thompson5910:Answer by solver91311(16868)   (Show Source): You can put this solution on YOUR website!I would love to help, but how much of that mess is in the denominator? Just the 2? The 2(x+4)^2? or is does it look like this: ? Answer by jim_thompson5910(28504)   (Show Source): You can put this solution on YOUR website! Start with the given equation Rewrite as Notice how the equation is now in vertex form where , and Remember, the vertex is (h,k). So in this case the vertex is (-4,6). The line of symmetry is in the form . So the equation is Since (ie it's positive), the parabola opens up. So this means that a min will occur at the vertex. So in this case the minimum is If we graph the function, we can visually verify our answer. Graph of with the axis of symmetry (blue line) and the vertex (-4,6)