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25 December, 10:37

Consider the graph of the quadratic function y = 2 (x + 3) 2 - 3 with two real zeros. What number can be added to the right side of the equation to change it to a function with one real zero?.

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  1. 25 December, 13:25
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    We have a quadratic equation that has two zeros. By adding 3, we eliminate the shifting down of - 3, y=2 (x+3) ^2-3 + (3) = 2 (x+3) ^2. Now the equation will have one zero:

    y=2 (xt3) ^2

    0=2 (xt3) ^2

    0/2 = (2 (xt3) ^2) / 2

    0 = (x+3) ^2

    0 = (x+3) (x+3)

    0=x+3

    0-3=x+3-3

    x=-3
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