Question

The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?

Answer 1

The vertex is at (4,-40). Please leave a good rating and thanks. I really appreciate it. Have a nice day!

Answer 2

`(4,-40)`

Explanation:

We have been given an equation
`f(x)=3x^2-24x+8` that represents a parabola. We are asked to find the vertex of parabola.

We will use vertex formula:
`(-b)/(2a)` to find the x-coordinate of vertex of parabola.

`(-(-24))/(2*3)`

`(24)/(6)`

`4`

So the x-coordinate of vertex of parabola is 4. Now we will substitute
`x=4` in our given equation to find the y-coordinate of vertex.

`f(4)=3*4^2-24*4+8`

`f(4)=3*16-96+8`

`f(4)=48-96+8`

`f(4)=56-96`

`f(4)=-40`

Since the y-coordinate of vertex of parabola is -40, therefore, the vertex of our given parabola is at point
`(4,-40)`.