Question

Rewrite the following quadratic function in vertex form.
f(x)=6x^2−6x+1

Answer 1

f(x)=6(x-0.5)²-0.5.

Explanation:

1) the rule is:

f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola;

2) according to the rule above:

f(x)=6(x²-x+0.25)-0.5; ⇔

f(x)=6(x-0.5)²-0.5.