Multiple Choice Question (MCQ)

g(x) = ax^2+24

For the function g defined above, a is a constant and g(4)=8. What is the value of g(−4)?

  1. 8

  2. ×

    0

  3. ×

    -1

  4. ×

    -8

Collected in the board: Function

Steven Zheng posted 1 week ago


Answer

  1. \because g( 4)=8

    Substituting into the given function g(x)= ax^2+24 establishes the following equation

    8 = 4^2a+24

    Solve the equation

    1=2a+3

    a=-1

    g(x) is determined as

    g(x) = -x^2+24

    Substituting x=-4 into the function gives

    g(-4)=-(-4)^2+24=8

    A is correct choice

Steven Zheng posted 1 week ago

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