Question

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?

Answer 1

im going to say the answer is x=3

Answer 2

x = 3

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