Question

Find the vertex of the graph of the function.

f(x) = 3x2 - 24x + 51

can someone help me understand vertex and how to solve for it please

Answer 1

f(x) = 3(x^2 - 8x + 17)
= 3[(x - 4)^2 - 16 + 17]
= 3(x - 4)^2 + 3

this is vertex form

Answer 2

the vertex is at (4,3)

Answer 3

general form of vertex is

y = a(x - b)^2 + c

where (a,c) is the coordinates of the vertex of the parabola