Integrated Math 1

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Suppose a parabola has its vertex at (0, 1) and its zeros at x = -3 and x = 3. Then equals _____.

A. 9-x^2

B. 1-1/9x^2

C. x^2-1

D. x^2-9

  • Integrated Math 1 -

    vertex at (0,1) means y = -ax^2 + 1 where a>0.

    since y=0 when x=3, we have

    y = -1/9 x^2 + 1

    (B)

  • Integrated Math 1 -

    B. Y = 1-(1/9)x^2 = 1 - x^2/9.
    V(0,1).
    When Xv = 0,
    Y = 1-0/9 = 1.

    When X = -3,
    Y = 1 - (-3)^2 / 9 = 1--1 = o.

    When X = 3,
    Y = 1- 3^2 / 9 = 1 - 1 = 0.

    Choice B satisfies all requirements.
    Therefore,the answer is B.

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