For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range.
a- the vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
b- the vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.
c- the vertex is (−1, 2), the domain is all real numbers, and the range is y ≥ 2.
d- the vertex is (−1, 2), the domain is all real numbers, and the range is y ≤ 2.