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math

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I need to write the quadratic function in vertex form then identify the vertex.

y=x^2-8x+10

  • math -

    This is called completing the squares:

    y=x²-8x+10
    y=(x-4)²-16 + 10
    y=(x-4)² - 6
    The vertex is thus at (4,-6).

    You can also get the vertex directly from:
    (-b/2a, -Δ/4a)
    =(-(-8)/2, -((-8)²-4*1*10)/4a)
    =(4, -6)

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