SOLUTION: I need to find the vertex of the parabola formed by the following quadratic function: {{{ y = -2x2 + 6x – 1 }}}

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I need to find the vertex of the parabola formed by the following quadratic function: {{{ y = -2x2 + 6x – 1 }}}      Log On


   

Question 871154: I need to find the vertex of the parabola formed by the following quadratic function: +y+=+-2x2+%2B+6x+%96+1+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form by completing the square.
y=-2x%5E2%2B6x-1
y=-2%28x%5E2-3x%29-1
y=-2%28x%5E2-3x%2B9%2F4%29-1%2B2%289%2F4%29
y=-2%28x-3%2F2%29%5E2-4%2F4%2B18%2F4
y=-2%28x-3%2F2%29%5E2%2B14%2F4
y=-2%28x-3%2F2%29%5E2%2B7%2F2
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(3/2,7/2)