What equation? Your quadratic trinomial isn't equal to anything, so you don't have an equation. Quadratic equation is the wrong terminology anyway. You want to talk about a quadratic function if you want to convert to vertex form.
Try this:
Now, complete the square on the right and then collect terms to result in a function that has the following pattern:
which is a parabola with a vertical axis of symmetry and a vertex of (h,k). The parabola opens upward if , downward otherwise. is the distance from the vertex to the focus of the parabola and is the distance from the vertex to the directrix.
John
My calculator said it, I believe it, that settles it
You can put this solution on YOUR website! how do I rewrite the quadratic equation x^2+6x-8 in vertex form?
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Complete the square:
x^2+6x-8 = y
x^2+6x+3^2 = y+8+3^2
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(x+3)^2 = y+17
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Vertex: (-3,-17)
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Cheers,
Stan H.
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