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17 October, 19:58

The line of symmetry for the quadratic equation y=ax^2-2x-3 is x=1. What is the value of "a"?

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  1. 17 October, 23:42
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    a = 1.

    Step-by-step explanation:

    For the general vertex form:

    y = a (x - b) ^2 + c the line of symmetry is x = b.

    y = ax^2 - 2x - 3

    y = a (x^2 - 2x/a) - 3

    y = a[ (x - 1/a) ^2 - (1/a) ^2] - 3

    y = a (x - 1/a) ^2 - 1/a - 3

    Here the line of symmetry is x = 1 so we have:

    1/a = 1

    a = 1.
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