Give the domain and range of the quadratic function whose graph is described. The vertex is \( (-5,-4) \) and the parabola opens down. The domain of \( f \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) The range of the function is \( (-\infty,-4) \). (Type your answer in interval notation.)

The domain of the quadratic function is all real numbers, expressed as \( (-\infty, \infty) \). This is because a quadratic function can take any real number as input, allowing the graph to span horizontally across the entire x-axis. Since the parabola opens downwards and the vertex is at \( (-5, -4) \), the highest point on the graph is at the vertex, meaning the range of the function includes all values less than or equal to -4. Therefore, the range of the function is written as \( (-\infty, -4] \).