the graph of the function shown is a translation of the graph of y=x^2 (vertex is at (4,-1))
a) state the domain and range
The domain of the function is the set of all possible x-values that the function can take. Since the graph of y=x^2 is being translated, the domain remains the same. Therefore, the domain is all real numbers (-∞, ∞).
The range of the function is the set of all possible y-values that the function can take. The vertex of the translated graph is at (4, -1), indicating that the lowest point on the graph is at y = -1. Therefore, the range is y ≥ -1.