Question

Find the vertex of the graph of the function.

f(x) = 3x^2 - 18x + 24

Answer 1

@satellite73 @ranga

Answer 2

3x^2 - 18x + 24
Factor 3 out:
3(x^2 - 6x + 8)
complete the square:
3{ (x-3)^2 - 9 + 8 }
3{ (x-3)^2 - 1}
3(x-3)^2 - 3
compare this to the vertex form a(x-h)^2 + k
where (h,k) is the vertex.
Determine the vertex of 3(x-3)^2 - 3