For the equation, f(x) = 3(x - 2)^2 - 5, graph the relation. Find the domain and range, and state whether this relation is a function with an explanation.
+6248 \(f(x)=3(x-2)^2-5\\ \text{This is the function}\\ y = x^2\\ \text{that has been shifted down 5 units, shifted to the right 2 units, and scaled by 3}\)
\(\text{The domain is all real numbers}\\ \text{The range is }[-5,\infty)\\ f(x) \text{ is a functional relation as each element in the domain maps to only a single element in the range}\)
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