Determine the domain and range of the following parabola. f(x)=−2(x−1)²+5

a. Domain is all real numbers. Range is f(x)≥1
b. Domain is all real numbers. Range is f(x)≤1
c. Domain is all real numbers. Range is f(x)≥5
d. Domain is all real numbers. Range is f(x)≤5