The graph of a quadratic function with vertex (4,-1) is shown in the figure below. Find the domain and rangedomain - range-

Given
Graph of the quadratic function
Find
Domain and range of the function
Explanation
as we see from the graph , function is defined for all value of x ,
so , domain of the quadratic function is all real numbers.
hence ,
[tex]domain=(-\infty,\infty)[/tex]and
as we have given vertex (4 , -1)
which means f(4) = -1 , as we see paraola opens upward so ,
range =
[tex]y\ge b(vertex)[/tex]hence , range =
[tex]y\ge-1[/tex]Final Answer
Hence , the domain is all real numbers and range
[tex]y\ge-1[/tex]