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29 March, 15:18

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f (x) = 4x2 - 24x + 20?

-5-1/2 = - 3

-10-2/2 = - 4

1+5/2 = 3

2+10/2 = 4

+3
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  1. 29 March, 17:03
    0
    To get the x-intercepts of the function, f (x) = 4x2 - 24x + 20

    It has to be equated to zero and the values of x are the x-intercepts. So,

    4x2 - 24x + 20 = 0

    The resulting equation is a quadratic equation which can be solved by different methods. The solution is

    x = 5, 1

    The average therefore is:

    (1+5/) 2 = 3
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