Question

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options. The domain is x ≥ 3. The range is y ≥ –1. The function decreases over the interval (–∞, 3). The axis of symmetry is x = –1. The vertex is (3, –1).

Answer 1

The statements that are true about the graph of the function f(x) = (x – 3)² – 1 are: the domain is x, the range is y ≥ –1, and the vertex is (3, –1).

Step-by-step explanation:

The statements that are true about the graph of the function f(x) = (x – 3)² – 1 are:

1. The domain is x ≥ 3
2. The range is y ≥ –1
3. The vertex is (3, –1)

The domain of a function refers to the set of possible input values, and in this case, x cannot be less than 3. The range of the function refers to the set of possible output values, and in this case, y cannot be less than -1. Finally, the vertex of the parabola is the point where the function reaches its minimum or maximum value, and in this case, the vertex is (3, -1).