the domain

The expression represents a quadratic function, specifically a parabola that opens upwards. This parabola represents all real numbers because any real number can be substituted into the equation, resulting in real outputs. The vertex of the parabola is at the point (1, -9), so the graph will stretch infinitely upwards from this lowest point.

To find the range of this function, notice that is always greater than or equal to 0. Thus, the minimum value of the expression occurs when , which leads to the lowest output of . This means the function will take on values from to . Isn’t it fascinating how quadratics reveal their secrets through their shape and position?