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17 April, 17:07

H (x) = x2 + 3x - 18

Rewrite the function by completing the square

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  1. 17 April, 20:38
    0
    h (x) = (x + 3/2) ^2 - 81/4

    Step-by-step explanation:

    h (x) = x^2 + 3x - 18 (note the required use of " ^ " to indicate exponentiation)

    Here 3 is the coefficient of the x term. Take half of this 3 and square the result: (3/2) ^2 = 9/4.

    Going back to h (x) = x^2 + 3x - 18

    Add 9/4 and then subtract 9/4:

    h (x) = x^2 + 3x + 9/4 - 9/4 - 18

    Rewrite this as h (x) = (x + 3/2) ^2 - 9/4 - 18, or

    h (x) = (x + 3/2) ^2 - 81/4
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