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

I don't know for sure I'm going to ace grade next year but I know that you you need to put the coefficients with the same variable together and the variable next to the coefficients and multiply or add or divide or subtract them and you get your answer and this is just 7th grade math I'm relying on

Answer 2

x = 3 is the line of symmetry.

Explanation:

In this question we have to find the equation of line of symmetry which is the average of x-intercepts.

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

Now we know line of symmetry is denoted by x = -
`(b)/(2a)`

From the quadratic function

a = 4

and b = -24

therefore, equation of symmetry will be x = -
`[(-24)/((2)(4))]`

x = 3

Therefore, x = 3 is the line of symmetry for the given function.