Given the graph of the quadratic function with vertex (-4,-3) as shown below:
The domain of the function is a set of input values. The range of a quadratic function continues in either direction along the x-axis, as shown by the arrows in the above plot. The range is the set of output values. In other words, it is the possible values of y in a quadratic function.
Thus, the domain of the function is:
![(-\infty,\text{ }\infty)](https://img.qammunity.org/2023/formulas/mathematics/college/wwklj5gzqtwiz764wvjl2ead7aizkgqq7x.png)
The range of the function is :
![\lbrack-3,\text{ }\infty)](https://img.qammunity.org/2023/formulas/mathematics/college/od2h3klp4sb1bb5l5j0vcxx5mocfme6ska.png)