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31 October, 23:18

Write f (x) = a (x-h) 2+k and identify the vertex

f (x) = 2x2+4x-5 vertex: (,) ?

2x to the second power so 2x2 sorry

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  1. 31 October, 23:47
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    Hello:

    2x²+4x-5 = a (x-h) 2+k = a (x²-2xh+h²) + k

    2x²+4x-5 = ax²-2ahx + ah² + k

    a=2 ... (1)

    -2ah = 4 ... (2)

    ah²+k=-5 ... (3)

    in (2) : - 4h=4 h=-1

    in (3) : 2 (-1) ²+k=-5 k = - 7

    conclusion : 2x²+4x-5 = 2 (x+1) ²-7

    the vertex is : A (-1,-7)
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