Answer:
to f(x) = 6x^2 - 13x + 5. One way to do this is to complete the square, which involves adding and subtracting a constant term to the quadratic expression to make it a perfect square trinomial. This can be done as follows:
f(x) = 6x^2 - 13x + 5
= 6(x^2 - (13/6)x) + 5
= 6(x^2 - (13/6)x + (13/12)^2 - (13/12)^2) + 5
= 6((x - 13/12)^2 - 169/144) + 5
= 6(x - 13/12)^2 - 101/24
Therefore, an equivalent function to f(x) is g(x) = 6(x - 13/12)^2 - 101/24.