Question

I’m having trouble finding the second box for part B

Answer 1

We are given the following function that represents a parabola:

`f(x)=3x^2-24x-9`

To determine the minimum value we will determine the vertex of the parabola. To do that we will convert the function into the following form:

`f(x)=a(x-h)^2+k`

It has already been established that the vertex is:

`(h,k)=(4,-57)`

This means that the minimum value is at the points:

`\begin{gathered} x=4 \\ y=-57 \end{gathered}`

Therefore, the minimum occurs at x = 4.