The graph of a quadratic function has a domain of (-∞, ∞) and range of [4, ∞). In two or more complete sentences, explain how the given range of the function can help you to determine whether the graph opens up or down.
The given range can help us to determine whether the graph of a quadratic function opens up or down. If the range is [ 4, + ∞ ) it has a minimum point with coordinates ( x, 4 ). The vertex is the lowest point on the graph. Answer: The graph opens up.