Answer:
option (2) is correct.
The vertex is (3 , -7)
Step-by-step explanation:
Given: the function [tex]g(x) = 8x^2-48x+65[/tex] written in vertex form is[tex]g(x) = 8(x-3)^2-7.[/tex]
We have to write the vertex form of g(x).
For a given quadratic function [tex]f(x)=ax^2+bx+c[/tex] , we can rewrite it in vertex form [tex]f(x)=a(x-h)^2+k[/tex] , where (h , k) represents the vertex of the function f(x).
For the given quadratic function [tex]g(x) = 8x^2-48x+65[/tex] written in vertex form is [tex]g(x) = 8(x-3)^2-7.[/tex]
On comparing , we get
h = 3 and k = -7
Thus, the vertex is (3 , -7)
Thus, option (2) is correct.
