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?

x = 3

Step-by-step explanation:

The given quadratic function is f(x) = 4x²-24x + 20

Now we have to find the line of symmetry of the given parabola.

We will convert this equation into vertex form first.

f(x) = 4x² - 24x + 20

    = 4x² - 24x + 36 - 16

   = (2x -6 )² -16

f(x) = 4(x -3 )² - 16

Now vertex of the parabola will be (3, -16) and line of symmetry will be x= 3

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step-by-step explanation: